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Finding the Fourth Proportional to 3,545.61, 5,319.24 and 1,596.75

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Solution

The fourth proportional to 3,545.61, 5,319.24 and 1,596.75 is: 2,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.61 : 5,319.24 = 1,596.75 : x
  2. Step 2: Convert to fraction form
    3,545.61/5,319.24 = 1,596.75/x
  3. Step 3: Cross multiply
    3,545.61x = 5,319.24 × 1,596.75
  4. Step 4: Simplify right side
    3,545.61x = 8,493,496.47
  5. Step 5: Solve for x
    x = 8,493,496.47/3,545.61
  6. Step 6: Final answer
    x = 2,395.50

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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.