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Finding the Fourth Proportional to 5,649.62, 8,472.33 and 2,362.93

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Solution

The fourth proportional to 5,649.62, 8,472.33 and 2,362.93 is: 3,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.62 : 8,472.33 = 2,362.93 : x
  2. Step 2: Convert to fraction form
    5,649.62/8,472.33 = 2,362.93/x
  3. Step 3: Cross multiply
    5,649.62x = 8,472.33 × 2,362.93
  4. Step 4: Simplify right side
    5,649.62x = 20,019,501.55
  5. Step 5: Solve for x
    x = 20,019,501.55/5,649.62
  6. Step 6: Final answer
    x = 3,543.52

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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.