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Finding the Fourth Proportional to 5,788.53, 8,684.92 and 3,449.86

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Solution

The fourth proportional to 5,788.53, 8,684.92 and 3,449.86 is: 5,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.53 : 8,684.92 = 3,449.86 : x
  2. Step 2: Convert to fraction form
    5,788.53/8,684.92 = 3,449.86/x
  3. Step 3: Cross multiply
    5,788.53x = 8,684.92 × 3,449.86
  4. Step 4: Simplify right side
    5,788.53x = 29,961,740.71
  5. Step 5: Solve for x
    x = 29,961,740.71/5,788.53
  6. Step 6: Final answer
    x = 5,176.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.