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Finding the Fourth Proportional to 5,048.89, 7,574.42 and 1,538.80

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Solution

The fourth proportional to 5,048.89, 7,574.42 and 1,538.80 is: 2,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.89 : 7,574.42 = 1,538.80 : x
  2. Step 2: Convert to fraction form
    5,048.89/7,574.42 = 1,538.80/x
  3. Step 3: Cross multiply
    5,048.89x = 7,574.42 × 1,538.80
  4. Step 4: Simplify right side
    5,048.89x = 11,655,545.01
  5. Step 5: Solve for x
    x = 11,655,545.01/5,048.89
  6. Step 6: Final answer
    x = 2,308.54

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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.