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Finding the Fourth Proportional to 5,165.16, 7,128.17 and 2,927.13

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Solution

The fourth proportional to 5,165.16, 7,128.17 and 2,927.13 is: 4,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.16 : 7,128.17 = 2,927.13 : x
  2. Step 2: Convert to fraction form
    5,165.16/7,128.17 = 2,927.13/x
  3. Step 3: Cross multiply
    5,165.16x = 7,128.17 × 2,927.13
  4. Step 4: Simplify right side
    5,165.16x = 20,865,080.25
  5. Step 5: Solve for x
    x = 20,865,080.25/5,165.16
  6. Step 6: Final answer
    x = 4,039.58

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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.