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Finding the Fourth Proportional to 5,693.40, 8,517.64 and 4,310.76

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Solution

The fourth proportional to 5,693.40, 8,517.64 and 4,310.76 is: 6,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.40 : 8,517.64 = 4,310.76 : x
  2. Step 2: Convert to fraction form
    5,693.40/8,517.64 = 4,310.76/x
  3. Step 3: Cross multiply
    5,693.40x = 8,517.64 × 4,310.76
  4. Step 4: Simplify right side
    5,693.40x = 36,717,501.81
  5. Step 5: Solve for x
    x = 36,717,501.81/5,693.40
  6. Step 6: Final answer
    x = 6,449.13

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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.