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Finding the Fourth Proportional to 5,792.48, 8,689.46 and 1,575.82

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Solution

The fourth proportional to 5,792.48, 8,689.46 and 1,575.82 is: 2,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.48 : 8,689.46 = 1,575.82 : x
  2. Step 2: Convert to fraction form
    5,792.48/8,689.46 = 1,575.82/x
  3. Step 3: Cross multiply
    5,792.48x = 8,689.46 × 1,575.82
  4. Step 4: Simplify right side
    5,792.48x = 13,693,016.98
  5. Step 5: Solve for x
    x = 13,693,016.98/5,792.48
  6. Step 6: Final answer
    x = 2,363.93

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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.