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Finding the Fourth Proportional to 5,867.96, 8,800.98 and 1,763

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Solution

The fourth proportional to 5,867.96, 8,800.98 and 1,763 is: 2,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.96 : 8,800.98 = 1,763 : x
  2. Step 2: Convert to fraction form
    5,867.96/8,800.98 = 1,763/x
  3. Step 3: Cross multiply
    5,867.96x = 8,800.98 × 1,763
  4. Step 4: Simplify right side
    5,867.96x = 15,516,127.74
  5. Step 5: Solve for x
    x = 15,516,127.74/5,867.96
  6. Step 6: Final answer
    x = 2,644.21

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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.