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Finding the Fourth Proportional to 4,925.99, 7,387.40 and 1,638.20

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Solution

The fourth proportional to 4,925.99, 7,387.40 and 1,638.20 is: 2,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.99 : 7,387.40 = 1,638.20 : x
  2. Step 2: Convert to fraction form
    4,925.99/7,387.40 = 1,638.20/x
  3. Step 3: Cross multiply
    4,925.99x = 7,387.40 × 1,638.20
  4. Step 4: Simplify right side
    4,925.99x = 12,102,061.24
  5. Step 5: Solve for x
    x = 12,102,061.24/4,925.99
  6. Step 6: Final answer
    x = 2,456.78

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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.