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Finding the Fourth Proportional to 2,572.90, 3,859.34 and 625.10

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Solution

The fourth proportional to 2,572.90, 3,859.34 and 625.10 is: 937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.90 : 3,859.34 = 625.10 : x
  2. Step 2: Convert to fraction form
    2,572.90/3,859.34 = 625.10/x
  3. Step 3: Cross multiply
    2,572.90x = 3,859.34 × 625.10
  4. Step 4: Simplify right side
    2,572.90x = 2,412,473.43
  5. Step 5: Solve for x
    x = 2,412,473.43/2,572.90
  6. Step 6: Final answer
    x = 937.65

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