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Finding the Fourth Proportional to 5,048.52, 7,561.84 and 2,446

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Solution

The fourth proportional to 5,048.52, 7,561.84 and 2,446 is: 3,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.52 : 7,561.84 = 2,446 : x
  2. Step 2: Convert to fraction form
    5,048.52/7,561.84 = 2,446/x
  3. Step 3: Cross multiply
    5,048.52x = 7,561.84 × 2,446
  4. Step 4: Simplify right side
    5,048.52x = 18,496,260.64
  5. Step 5: Solve for x
    x = 18,496,260.64/5,048.52
  6. Step 6: Final answer
    x = 3,663.70

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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.