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Finding the Fourth Proportional to 4,356.72, 6,494.04 and 4,006.80

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Solution

The fourth proportional to 4,356.72, 6,494.04 and 4,006.80 is: 5,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.72 : 6,494.04 = 4,006.80 : x
  2. Step 2: Convert to fraction form
    4,356.72/6,494.04 = 4,006.80/x
  3. Step 3: Cross multiply
    4,356.72x = 6,494.04 × 4,006.80
  4. Step 4: Simplify right side
    4,356.72x = 26,020,319.47
  5. Step 5: Solve for x
    x = 26,020,319.47/4,356.72
  6. Step 6: Final answer
    x = 5,972.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.