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Finding the Fourth Proportional to 4,317.54, 6,474.69 and 1,543.47

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Solution

The fourth proportional to 4,317.54, 6,474.69 and 1,543.47 is: 2,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.54 : 6,474.69 = 1,543.47 : x
  2. Step 2: Convert to fraction form
    4,317.54/6,474.69 = 1,543.47/x
  3. Step 3: Cross multiply
    4,317.54x = 6,474.69 × 1,543.47
  4. Step 4: Simplify right side
    4,317.54x = 9,993,489.77
  5. Step 5: Solve for x
    x = 9,993,489.77/4,317.54
  6. Step 6: Final answer
    x = 2,314.63

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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.