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Finding the Fourth Proportional to 3,095.71, 4,626.56 and 2,264.52

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Solution

The fourth proportional to 3,095.71, 4,626.56 and 2,264.52 is: 3,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.71 : 4,626.56 = 2,264.52 : x
  2. Step 2: Convert to fraction form
    3,095.71/4,626.56 = 2,264.52/x
  3. Step 3: Cross multiply
    3,095.71x = 4,626.56 × 2,264.52
  4. Step 4: Simplify right side
    3,095.71x = 10,476,937.65
  5. Step 5: Solve for x
    x = 10,476,937.65/3,095.71
  6. Step 6: Final answer
    x = 3,384.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.