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Finding the Fourth Proportional to 4,315.31, 6,472.98 and 1,395.66

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Solution

The fourth proportional to 4,315.31, 6,472.98 and 1,395.66 is: 2,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.31 : 6,472.98 = 1,395.66 : x
  2. Step 2: Convert to fraction form
    4,315.31/6,472.98 = 1,395.66/x
  3. Step 3: Cross multiply
    4,315.31x = 6,472.98 × 1,395.66
  4. Step 4: Simplify right side
    4,315.31x = 9,034,103.54
  5. Step 5: Solve for x
    x = 9,034,103.54/4,315.31
  6. Step 6: Final answer
    x = 2,093.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.