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Finding the Fourth Proportional to 5,052.81, 7,565.22 and 2,582.31

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Solution

The fourth proportional to 5,052.81, 7,565.22 and 2,582.31 is: 3,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.81 : 7,565.22 = 2,582.31 : x
  2. Step 2: Convert to fraction form
    5,052.81/7,565.22 = 2,582.31/x
  3. Step 3: Cross multiply
    5,052.81x = 7,565.22 × 2,582.31
  4. Step 4: Simplify right side
    5,052.81x = 19,535,743.26
  5. Step 5: Solve for x
    x = 19,535,743.26/5,052.81
  6. Step 6: Final answer
    x = 3,866.31

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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.