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Finding the Fourth Proportional to 4,425.71, 6,638.54 and 1,138.78

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Solution

The fourth proportional to 4,425.71, 6,638.54 and 1,138.78 is: 1,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.71 : 6,638.54 = 1,138.78 : x
  2. Step 2: Convert to fraction form
    4,425.71/6,638.54 = 1,138.78/x
  3. Step 3: Cross multiply
    4,425.71x = 6,638.54 × 1,138.78
  4. Step 4: Simplify right side
    4,425.71x = 7,559,822.83
  5. Step 5: Solve for x
    x = 7,559,822.83/4,425.71
  6. Step 6: Final answer
    x = 1,708.16

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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.