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Finding the Fourth Proportional to 3,854.76, 5,317.20 and 2,282.46

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Solution

The fourth proportional to 3,854.76, 5,317.20 and 2,282.46 is: 3,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.76 : 5,317.20 = 2,282.46 : x
  2. Step 2: Convert to fraction form
    3,854.76/5,317.20 = 2,282.46/x
  3. Step 3: Cross multiply
    3,854.76x = 5,317.20 × 2,282.46
  4. Step 4: Simplify right side
    3,854.76x = 12,136,296.31
  5. Step 5: Solve for x
    x = 12,136,296.31/3,854.76
  6. Step 6: Final answer
    x = 3,148.39

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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.