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Finding the Fourth Proportional to 2,500.06, 3,742.22 and 1,715.47

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Solution

The fourth proportional to 2,500.06, 3,742.22 and 1,715.47 is: 2,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.06 : 3,742.22 = 1,715.47 : x
  2. Step 2: Convert to fraction form
    2,500.06/3,742.22 = 1,715.47/x
  3. Step 3: Cross multiply
    2,500.06x = 3,742.22 × 1,715.47
  4. Step 4: Simplify right side
    2,500.06x = 6,419,648.21
  5. Step 5: Solve for x
    x = 6,419,648.21/2,500.06
  6. Step 6: Final answer
    x = 2,567.80

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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.