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Finding the Fourth Proportional to 4,451.55, 6,142.87 and 2,461.98

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Solution

The fourth proportional to 4,451.55, 6,142.87 and 2,461.98 is: 3,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.55 : 6,142.87 = 2,461.98 : x
  2. Step 2: Convert to fraction form
    4,451.55/6,142.87 = 2,461.98/x
  3. Step 3: Cross multiply
    4,451.55x = 6,142.87 × 2,461.98
  4. Step 4: Simplify right side
    4,451.55x = 15,123,623.08
  5. Step 5: Solve for x
    x = 15,123,623.08/4,451.55
  6. Step 6: Final answer
    x = 3,397.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.