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Finding the Fourth Proportional to 5,114.65, 7,671.07 and 1,415.96

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Solution

The fourth proportional to 5,114.65, 7,671.07 and 1,415.96 is: 2,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.65 : 7,671.07 = 1,415.96 : x
  2. Step 2: Convert to fraction form
    5,114.65/7,671.07 = 1,415.96/x
  3. Step 3: Cross multiply
    5,114.65x = 7,671.07 × 1,415.96
  4. Step 4: Simplify right side
    5,114.65x = 10,861,928.28
  5. Step 5: Solve for x
    x = 10,861,928.28/5,114.65
  6. Step 6: Final answer
    x = 2,123.69

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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.