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Finding the Fourth Proportional to 5,252.60, 7,878.26 and 1,357.28

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Solution

The fourth proportional to 5,252.60, 7,878.26 and 1,357.28 is: 2,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.60 : 7,878.26 = 1,357.28 : x
  2. Step 2: Convert to fraction form
    5,252.60/7,878.26 = 1,357.28/x
  3. Step 3: Cross multiply
    5,252.60x = 7,878.26 × 1,357.28
  4. Step 4: Simplify right side
    5,252.60x = 10,693,004.73
  5. Step 5: Solve for x
    x = 10,693,004.73/5,252.60
  6. Step 6: Final answer
    x = 2,035.75

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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.