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Finding the Fourth Proportional to 5,461.85, 7,540.97 and 4,871.36

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Solution

The fourth proportional to 5,461.85, 7,540.97 and 4,871.36 is: 6,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.85 : 7,540.97 = 4,871.36 : x
  2. Step 2: Convert to fraction form
    5,461.85/7,540.97 = 4,871.36/x
  3. Step 3: Cross multiply
    5,461.85x = 7,540.97 × 4,871.36
  4. Step 4: Simplify right side
    5,461.85x = 36,734,774.11
  5. Step 5: Solve for x
    x = 36,734,774.11/5,461.85
  6. Step 6: Final answer
    x = 6,725.70

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