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Finding the Fourth Proportional to 4,500.29, 6,711.06 and 4,254.63

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Solution

The fourth proportional to 4,500.29, 6,711.06 and 4,254.63 is: 6,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.29 : 6,711.06 = 4,254.63 : x
  2. Step 2: Convert to fraction form
    4,500.29/6,711.06 = 4,254.63/x
  3. Step 3: Cross multiply
    4,500.29x = 6,711.06 × 4,254.63
  4. Step 4: Simplify right side
    4,500.29x = 28,553,077.21
  5. Step 5: Solve for x
    x = 28,553,077.21/4,500.29
  6. Step 6: Final answer
    x = 6,344.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.