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Finding the Fourth Proportional to 4,232.42, 6,348.54 and 1,154.42

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Solution

The fourth proportional to 4,232.42, 6,348.54 and 1,154.42 is: 1,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.42 : 6,348.54 = 1,154.42 : x
  2. Step 2: Convert to fraction form
    4,232.42/6,348.54 = 1,154.42/x
  3. Step 3: Cross multiply
    4,232.42x = 6,348.54 × 1,154.42
  4. Step 4: Simplify right side
    4,232.42x = 7,328,881.55
  5. Step 5: Solve for x
    x = 7,328,881.55/4,232.42
  6. Step 6: Final answer
    x = 1,731.61

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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.