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Finding the Fourth Proportional to 5,913.89, 8,152.68 and 4,652.76

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Solution

The fourth proportional to 5,913.89, 8,152.68 and 4,652.76 is: 6,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.89 : 8,152.68 = 4,652.76 : x
  2. Step 2: Convert to fraction form
    5,913.89/8,152.68 = 4,652.76/x
  3. Step 3: Cross multiply
    5,913.89x = 8,152.68 × 4,652.76
  4. Step 4: Simplify right side
    5,913.89x = 37,932,476.52
  5. Step 5: Solve for x
    x = 37,932,476.52/5,913.89
  6. Step 6: Final answer
    x = 6,414.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.