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Finding the Fourth Proportional to 5,697.44, 8,545.47 and 1,537.13

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Solution

The fourth proportional to 5,697.44, 8,545.47 and 1,537.13 is: 2,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.44 : 8,545.47 = 1,537.13 : x
  2. Step 2: Convert to fraction form
    5,697.44/8,545.47 = 1,537.13/x
  3. Step 3: Cross multiply
    5,697.44x = 8,545.47 × 1,537.13
  4. Step 4: Simplify right side
    5,697.44x = 13,135,447.89
  5. Step 5: Solve for x
    x = 13,135,447.89/5,697.44
  6. Step 6: Final answer
    x = 2,305.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.