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Finding the Fourth Proportional to 5,792.98, 8,689.48 and 1,410.44

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Solution

The fourth proportional to 5,792.98, 8,689.48 and 1,410.44 is: 2,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.98 : 8,689.48 = 1,410.44 : x
  2. Step 2: Convert to fraction form
    5,792.98/8,689.48 = 1,410.44/x
  3. Step 3: Cross multiply
    5,792.98x = 8,689.48 × 1,410.44
  4. Step 4: Simplify right side
    5,792.98x = 12,255,990.17
  5. Step 5: Solve for x
    x = 12,255,990.17/5,792.98
  6. Step 6: Final answer
    x = 2,115.66

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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.