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Finding the Fourth Proportional to 4,925.80, 7,387.17 and 1,638.10

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Solution

The fourth proportional to 4,925.80, 7,387.17 and 1,638.10 is: 2,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.80 : 7,387.17 = 1,638.10 : x
  2. Step 2: Convert to fraction form
    4,925.80/7,387.17 = 1,638.10/x
  3. Step 3: Cross multiply
    4,925.80x = 7,387.17 × 1,638.10
  4. Step 4: Simplify right side
    4,925.80x = 12,100,923.18
  5. Step 5: Solve for x
    x = 12,100,923.18/4,925.80
  6. Step 6: Final answer
    x = 2,456.64

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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.