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Finding the Fourth Proportional to 5,052.69, 7,565.05 and 2,582.19

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Solution

The fourth proportional to 5,052.69, 7,565.05 and 2,582.19 is: 3,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.69 : 7,565.05 = 2,582.19 : x
  2. Step 2: Convert to fraction form
    5,052.69/7,565.05 = 2,582.19/x
  3. Step 3: Cross multiply
    5,052.69x = 7,565.05 × 2,582.19
  4. Step 4: Simplify right side
    5,052.69x = 19,534,396.46
  5. Step 5: Solve for x
    x = 19,534,396.46/5,052.69
  6. Step 6: Final answer
    x = 3,866.14

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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.