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Finding the Fourth Proportional to 4,462.47, 6,693.21 and 1,175.90

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Solution

The fourth proportional to 4,462.47, 6,693.21 and 1,175.90 is: 1,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.47 : 6,693.21 = 1,175.90 : x
  2. Step 2: Convert to fraction form
    4,462.47/6,693.21 = 1,175.90/x
  3. Step 3: Cross multiply
    4,462.47x = 6,693.21 × 1,175.90
  4. Step 4: Simplify right side
    4,462.47x = 7,870,512.17
  5. Step 5: Solve for x
    x = 7,870,512.17/4,462.47
  6. Step 6: Final answer
    x = 1,763.71

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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.