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Finding the Fourth Proportional to 4,691.50, 7,037.18 and 1,181.50

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Solution

The fourth proportional to 4,691.50, 7,037.18 and 1,181.50 is: 1,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.50 : 7,037.18 = 1,181.50 : x
  2. Step 2: Convert to fraction form
    4,691.50/7,037.18 = 1,181.50/x
  3. Step 3: Cross multiply
    4,691.50x = 7,037.18 × 1,181.50
  4. Step 4: Simplify right side
    4,691.50x = 8,314,428.17
  5. Step 5: Solve for x
    x = 8,314,428.17/4,691.50
  6. Step 6: Final answer
    x = 1,772.23

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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.