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Finding the Fourth Proportional to 5,051.64, 7,572.50 and 2,418.40

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Solution

The fourth proportional to 5,051.64, 7,572.50 and 2,418.40 is: 3,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.64 : 7,572.50 = 2,418.40 : x
  2. Step 2: Convert to fraction form
    5,051.64/7,572.50 = 2,418.40/x
  3. Step 3: Cross multiply
    5,051.64x = 7,572.50 × 2,418.40
  4. Step 4: Simplify right side
    5,051.64x = 18,313,334
  5. Step 5: Solve for x
    x = 18,313,334/5,051.64
  6. Step 6: Final answer
    x = 3,625.23

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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.