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Finding the Fourth Proportional to 3,543.77, 5,312.57 and 1,462.47

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Solution

The fourth proportional to 3,543.77, 5,312.57 and 1,462.47 is: 2,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.77 : 5,312.57 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    3,543.77/5,312.57 = 1,462.47/x
  3. Step 3: Cross multiply
    3,543.77x = 5,312.57 × 1,462.47
  4. Step 4: Simplify right side
    3,543.77x = 7,769,466.94
  5. Step 5: Solve for x
    x = 7,769,466.94/3,543.77
  6. Step 6: Final answer
    x = 2,192.43

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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.