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Finding the Fourth Proportional to 5,224,892.86, 7,833,232.50 and 3,301,759.18

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Solution

The fourth proportional to 5,224,892.86, 7,833,232.50 and 3,301,759.18 is: 4,950,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,892.86 : 7,833,232.50 = 3,301,759.18 : x
  2. Step 2: Convert to fraction form
    5,224,892.86/7,833,232.50 = 3,301,759.18/x
  3. Step 3: Cross multiply
    5,224,892.86x = 7,833,232.50 × 3,301,759.18
  4. Step 4: Simplify right side
    5,224,892.86x = 25,863,447,315,949.35
  5. Step 5: Solve for x
    x = 25,863,447,315,949.35/5,224,892.86
  6. Step 6: Final answer
    x = 4,950,043.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.