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Finding the Fourth Proportional to 3,542, 4,884.68 and 2,281.52

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Solution

The fourth proportional to 3,542, 4,884.68 and 2,281.52 is: 3,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542 : 4,884.68 = 2,281.52 : x
  2. Step 2: Convert to fraction form
    3,542/4,884.68 = 2,281.52/x
  3. Step 3: Cross multiply
    3,542x = 4,884.68 × 2,281.52
  4. Step 4: Simplify right side
    3,542x = 11,144,495.11
  5. Step 5: Solve for x
    x = 11,144,495.11/3,542
  6. Step 6: Final answer
    x = 3,146.38

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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.