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Finding the Fourth Proportional to 4,001.46, 5,520.47 and 2,506.78

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Solution

The fourth proportional to 4,001.46, 5,520.47 and 2,506.78 is: 3,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.46 : 5,520.47 = 2,506.78 : x
  2. Step 2: Convert to fraction form
    4,001.46/5,520.47 = 2,506.78/x
  3. Step 3: Cross multiply
    4,001.46x = 5,520.47 × 2,506.78
  4. Step 4: Simplify right side
    4,001.46x = 13,838,596.25
  5. Step 5: Solve for x
    x = 13,838,596.25/4,001.46
  6. Step 6: Final answer
    x = 3,458.39

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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.