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Finding the Fourth Proportional to 3,521.64, 5,282.15 and 1,057.01

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Solution

The fourth proportional to 3,521.64, 5,282.15 and 1,057.01 is: 1,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.64 : 5,282.15 = 1,057.01 : x
  2. Step 2: Convert to fraction form
    3,521.64/5,282.15 = 1,057.01/x
  3. Step 3: Cross multiply
    3,521.64x = 5,282.15 × 1,057.01
  4. Step 4: Simplify right side
    3,521.64x = 5,583,280.09
  5. Step 5: Solve for x
    x = 5,583,280.09/3,521.64
  6. Step 6: Final answer
    x = 1,585.42

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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.