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Finding the Fourth Proportional to 5,114.16, 7,661.28 and 2,645.28

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Solution

The fourth proportional to 5,114.16, 7,661.28 and 2,645.28 is: 3,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.16 : 7,661.28 = 2,645.28 : x
  2. Step 2: Convert to fraction form
    5,114.16/7,661.28 = 2,645.28/x
  3. Step 3: Cross multiply
    5,114.16x = 7,661.28 × 2,645.28
  4. Step 4: Simplify right side
    5,114.16x = 20,266,230.76
  5. Step 5: Solve for x
    x = 20,266,230.76/5,114.16
  6. Step 6: Final answer
    x = 3,962.77

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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.