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Finding the Fourth Proportional to 4,155.47, 6,233.25 and 1,077.47

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Solution

The fourth proportional to 4,155.47, 6,233.25 and 1,077.47 is: 1,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.47 : 6,233.25 = 1,077.47 : x
  2. Step 2: Convert to fraction form
    4,155.47/6,233.25 = 1,077.47/x
  3. Step 3: Cross multiply
    4,155.47x = 6,233.25 × 1,077.47
  4. Step 4: Simplify right side
    4,155.47x = 6,716,136.13
  5. Step 5: Solve for x
    x = 6,716,136.13/4,155.47
  6. Step 6: Final answer
    x = 1,616.22

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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.