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Finding the Fourth Proportional to 4,691.48, 7,037.04 and 1,228.64

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Solution

The fourth proportional to 4,691.48, 7,037.04 and 1,228.64 is: 1,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.48 : 7,037.04 = 1,228.64 : x
  2. Step 2: Convert to fraction form
    4,691.48/7,037.04 = 1,228.64/x
  3. Step 3: Cross multiply
    4,691.48x = 7,037.04 × 1,228.64
  4. Step 4: Simplify right side
    4,691.48x = 8,645,988.83
  5. Step 5: Solve for x
    x = 8,645,988.83/4,691.48
  6. Step 6: Final answer
    x = 1,842.91

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