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Finding the Fourth Proportional to 4,102.25, 6,148.71 and 1,468.53

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Solution

The fourth proportional to 4,102.25, 6,148.71 and 1,468.53 is: 2,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.25 : 6,148.71 = 1,468.53 : x
  2. Step 2: Convert to fraction form
    4,102.25/6,148.71 = 1,468.53/x
  3. Step 3: Cross multiply
    4,102.25x = 6,148.71 × 1,468.53
  4. Step 4: Simplify right side
    4,102.25x = 9,029,565.10
  5. Step 5: Solve for x
    x = 9,029,565.10/4,102.25
  6. Step 6: Final answer
    x = 2,201.13

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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.