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Finding the Fourth Proportional to 5,314.68, 7,334.15 and 3,076.65

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Solution

The fourth proportional to 5,314.68, 7,334.15 and 3,076.65 is: 4,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.68 : 7,334.15 = 3,076.65 : x
  2. Step 2: Convert to fraction form
    5,314.68/7,334.15 = 3,076.65/x
  3. Step 3: Cross multiply
    5,314.68x = 7,334.15 × 3,076.65
  4. Step 4: Simplify right side
    5,314.68x = 22,564,597.21
  5. Step 5: Solve for x
    x = 22,564,597.21/5,314.68
  6. Step 6: Final answer
    x = 4,245.71

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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.