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Finding the Fourth Proportional to 3,419.46, 5,125.14 and 1,569.02

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Solution

The fourth proportional to 3,419.46, 5,125.14 and 1,569.02 is: 2,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.46 : 5,125.14 = 1,569.02 : x
  2. Step 2: Convert to fraction form
    3,419.46/5,125.14 = 1,569.02/x
  3. Step 3: Cross multiply
    3,419.46x = 5,125.14 × 1,569.02
  4. Step 4: Simplify right side
    3,419.46x = 8,041,421.54
  5. Step 5: Solve for x
    x = 8,041,421.54/3,419.46
  6. Step 6: Final answer
    x = 2,351.66

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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.