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Finding the Fourth Proportional to 4,772.98, 7,158.70 and 1,309.42

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Solution

The fourth proportional to 4,772.98, 7,158.70 and 1,309.42 is: 1,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.98 : 7,158.70 = 1,309.42 : x
  2. Step 2: Convert to fraction form
    4,772.98/7,158.70 = 1,309.42/x
  3. Step 3: Cross multiply
    4,772.98x = 7,158.70 × 1,309.42
  4. Step 4: Simplify right side
    4,772.98x = 9,373,744.95
  5. Step 5: Solve for x
    x = 9,373,744.95/4,772.98
  6. Step 6: Final answer
    x = 1,963.92

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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.