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Finding the Fourth Proportional to 5,171.04, 7,756.44 and 1,275.44

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Solution

The fourth proportional to 5,171.04, 7,756.44 and 1,275.44 is: 1,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.04 : 7,756.44 = 1,275.44 : x
  2. Step 2: Convert to fraction form
    5,171.04/7,756.44 = 1,275.44/x
  3. Step 3: Cross multiply
    5,171.04x = 7,756.44 × 1,275.44
  4. Step 4: Simplify right side
    5,171.04x = 9,892,873.83
  5. Step 5: Solve for x
    x = 9,892,873.83/5,171.04
  6. Step 6: Final answer
    x = 1,913.13

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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.