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Finding the Fourth Proportional to 4,691.39, 7,037.14 and 1,404.52

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Solution

The fourth proportional to 4,691.39, 7,037.14 and 1,404.52 is: 2,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.39 : 7,037.14 = 1,404.52 : x
  2. Step 2: Convert to fraction form
    4,691.39/7,037.14 = 1,404.52/x
  3. Step 3: Cross multiply
    4,691.39x = 7,037.14 × 1,404.52
  4. Step 4: Simplify right side
    4,691.39x = 9,883,803.87
  5. Step 5: Solve for x
    x = 9,883,803.87/4,691.39
  6. Step 6: Final answer
    x = 2,106.80

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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.