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Finding the Fourth Proportional to 5,165.58, 7,128.42 and 2,927.46

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Solution

The fourth proportional to 5,165.58, 7,128.42 and 2,927.46 is: 4,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.58 : 7,128.42 = 2,927.46 : x
  2. Step 2: Convert to fraction form
    5,165.58/7,128.42 = 2,927.46/x
  3. Step 3: Cross multiply
    5,165.58x = 7,128.42 × 2,927.46
  4. Step 4: Simplify right side
    5,165.58x = 20,868,164.41
  5. Step 5: Solve for x
    x = 20,868,164.41/5,165.58
  6. Step 6: Final answer
    x = 4,039.85

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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.