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Finding the Fourth Proportional to 4,264, 6,395.52 and 1,341.76

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Solution

The fourth proportional to 4,264, 6,395.52 and 1,341.76 is: 2,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264 : 6,395.52 = 1,341.76 : x
  2. Step 2: Convert to fraction form
    4,264/6,395.52 = 1,341.76/x
  3. Step 3: Cross multiply
    4,264x = 6,395.52 × 1,341.76
  4. Step 4: Simplify right side
    4,264x = 8,581,252.92
  5. Step 5: Solve for x
    x = 8,581,252.92/4,264
  6. Step 6: Final answer
    x = 2,012.49

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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.