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Finding the Fourth Proportional to 3,537.68, 5,307.70 and 1,347

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Solution

The fourth proportional to 3,537.68, 5,307.70 and 1,347 is: 2,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.68 : 5,307.70 = 1,347 : x
  2. Step 2: Convert to fraction form
    3,537.68/5,307.70 = 1,347/x
  3. Step 3: Cross multiply
    3,537.68x = 5,307.70 × 1,347
  4. Step 4: Simplify right side
    3,537.68x = 7,149,471.90
  5. Step 5: Solve for x
    x = 7,149,471.90/3,537.68
  6. Step 6: Final answer
    x = 2,020.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.