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Finding the Fourth Proportional to 4,417.76, 6,052.38 and 4,251.72

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Solution

The fourth proportional to 4,417.76, 6,052.38 and 4,251.72 is: 5,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.76 : 6,052.38 = 4,251.72 : x
  2. Step 2: Convert to fraction form
    4,417.76/6,052.38 = 4,251.72/x
  3. Step 3: Cross multiply
    4,417.76x = 6,052.38 × 4,251.72
  4. Step 4: Simplify right side
    4,417.76x = 25,733,025.09
  5. Step 5: Solve for x
    x = 25,733,025.09/4,417.76
  6. Step 6: Final answer
    x = 5,824.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.