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Finding the Fourth Proportional to 3,712.68, 5,570.36 and 2,154.24

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Solution

The fourth proportional to 3,712.68, 5,570.36 and 2,154.24 is: 3,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.68 : 5,570.36 = 2,154.24 : x
  2. Step 2: Convert to fraction form
    3,712.68/5,570.36 = 2,154.24/x
  3. Step 3: Cross multiply
    3,712.68x = 5,570.36 × 2,154.24
  4. Step 4: Simplify right side
    3,712.68x = 11,999,892.33
  5. Step 5: Solve for x
    x = 11,999,892.33/3,712.68
  6. Step 6: Final answer
    x = 3,232.14

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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.