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Finding the Fourth Proportional to 4,985.86, 7,476.03 and 2,314.54

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Solution

The fourth proportional to 4,985.86, 7,476.03 and 2,314.54 is: 3,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.86 : 7,476.03 = 2,314.54 : x
  2. Step 2: Convert to fraction form
    4,985.86/7,476.03 = 2,314.54/x
  3. Step 3: Cross multiply
    4,985.86x = 7,476.03 × 2,314.54
  4. Step 4: Simplify right side
    4,985.86x = 17,303,570.48
  5. Step 5: Solve for x
    x = 17,303,570.48/4,985.86
  6. Step 6: Final answer
    x = 3,470.53

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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.