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Finding the Fourth Proportional to 4,748.48, 7,113.15 and 3,976.20

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Solution

The fourth proportional to 4,748.48, 7,113.15 and 3,976.20 is: 5,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.48 : 7,113.15 = 3,976.20 : x
  2. Step 2: Convert to fraction form
    4,748.48/7,113.15 = 3,976.20/x
  3. Step 3: Cross multiply
    4,748.48x = 7,113.15 × 3,976.20
  4. Step 4: Simplify right side
    4,748.48x = 28,283,307.03
  5. Step 5: Solve for x
    x = 28,283,307.03/4,748.48
  6. Step 6: Final answer
    x = 5,956.29

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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.