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Finding the Fourth Proportional to 3,557.71, 4,909.17 and 2,065.42

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Solution

The fourth proportional to 3,557.71, 4,909.17 and 2,065.42 is: 2,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.71 : 4,909.17 = 2,065.42 : x
  2. Step 2: Convert to fraction form
    3,557.71/4,909.17 = 2,065.42/x
  3. Step 3: Cross multiply
    3,557.71x = 4,909.17 × 2,065.42
  4. Step 4: Simplify right side
    3,557.71x = 10,139,497.90
  5. Step 5: Solve for x
    x = 10,139,497.90/3,557.71
  6. Step 6: Final answer
    x = 2,850.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.