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Finding the Fourth Proportional to 4,642.67, 6,963.28 and 1,355.42

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Solution

The fourth proportional to 4,642.67, 6,963.28 and 1,355.42 is: 2,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.67 : 6,963.28 = 1,355.42 : x
  2. Step 2: Convert to fraction form
    4,642.67/6,963.28 = 1,355.42/x
  3. Step 3: Cross multiply
    4,642.67x = 6,963.28 × 1,355.42
  4. Step 4: Simplify right side
    4,642.67x = 9,438,168.98
  5. Step 5: Solve for x
    x = 9,438,168.98/4,642.67
  6. Step 6: Final answer
    x = 2,032.92

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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.