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Finding the Fourth Proportional to 4,752.40, 7,130.84 and 3,193.15

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Solution

The fourth proportional to 4,752.40, 7,130.84 and 3,193.15 is: 4,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.40 : 7,130.84 = 3,193.15 : x
  2. Step 2: Convert to fraction form
    4,752.40/7,130.84 = 3,193.15/x
  3. Step 3: Cross multiply
    4,752.40x = 7,130.84 × 3,193.15
  4. Step 4: Simplify right side
    4,752.40x = 22,769,825.78
  5. Step 5: Solve for x
    x = 22,769,825.78/4,752.40
  6. Step 6: Final answer
    x = 4,791.23

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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.