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Finding the Fourth Proportional to 3,614.32, 5,421.47 and 1,017.25

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Solution

The fourth proportional to 3,614.32, 5,421.47 and 1,017.25 is: 1,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.32 : 5,421.47 = 1,017.25 : x
  2. Step 2: Convert to fraction form
    3,614.32/5,421.47 = 1,017.25/x
  3. Step 3: Cross multiply
    3,614.32x = 5,421.47 × 1,017.25
  4. Step 4: Simplify right side
    3,614.32x = 5,514,990.36
  5. Step 5: Solve for x
    x = 5,514,990.36/3,614.32
  6. Step 6: Final answer
    x = 1,525.87

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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.