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Finding the Fourth Proportional to 5,765.46, 7,949.17 and 4,808.80

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Solution

The fourth proportional to 5,765.46, 7,949.17 and 4,808.80 is: 6,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.46 : 7,949.17 = 4,808.80 : x
  2. Step 2: Convert to fraction form
    5,765.46/7,949.17 = 4,808.80/x
  3. Step 3: Cross multiply
    5,765.46x = 7,949.17 × 4,808.80
  4. Step 4: Simplify right side
    5,765.46x = 38,225,984.64
  5. Step 5: Solve for x
    x = 38,225,984.64/5,765.46
  6. Step 6: Final answer
    x = 6,630.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.