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Finding the Fourth Proportional to 5,792.32, 8,689.92 and 1,897.12

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Solution

The fourth proportional to 5,792.32, 8,689.92 and 1,897.12 is: 2,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.32 : 8,689.92 = 1,897.12 : x
  2. Step 2: Convert to fraction form
    5,792.32/8,689.92 = 1,897.12/x
  3. Step 3: Cross multiply
    5,792.32x = 8,689.92 × 1,897.12
  4. Step 4: Simplify right side
    5,792.32x = 16,485,821.03
  5. Step 5: Solve for x
    x = 16,485,821.03/5,792.32
  6. Step 6: Final answer
    x = 2,846.15

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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.