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Finding the Fourth Proportional to 3,115.86, 4,303.61 and 2,275.22

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Solution

The fourth proportional to 3,115.86, 4,303.61 and 2,275.22 is: 3,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.86 : 4,303.61 = 2,275.22 : x
  2. Step 2: Convert to fraction form
    3,115.86/4,303.61 = 2,275.22/x
  3. Step 3: Cross multiply
    3,115.86x = 4,303.61 × 2,275.22
  4. Step 4: Simplify right side
    3,115.86x = 9,791,626.65
  5. Step 5: Solve for x
    x = 9,791,626.65/3,115.86
  6. Step 6: Final answer
    x = 3,142.51

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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.