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Finding the Fourth Proportional to 4,065.48, 6,098.19 and 1,432.38

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Solution

The fourth proportional to 4,065.48, 6,098.19 and 1,432.38 is: 2,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.48 : 6,098.19 = 1,432.38 : x
  2. Step 2: Convert to fraction form
    4,065.48/6,098.19 = 1,432.38/x
  3. Step 3: Cross multiply
    4,065.48x = 6,098.19 × 1,432.38
  4. Step 4: Simplify right side
    4,065.48x = 8,734,925.39
  5. Step 5: Solve for x
    x = 8,734,925.39/4,065.48
  6. Step 6: Final answer
    x = 2,148.56

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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.