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Finding the Fourth Proportional to 4,340.17, 6,478.84 and 3,814.71

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Solution

The fourth proportional to 4,340.17, 6,478.84 and 3,814.71 is: 5,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.17 : 6,478.84 = 3,814.71 : x
  2. Step 2: Convert to fraction form
    4,340.17/6,478.84 = 3,814.71/x
  3. Step 3: Cross multiply
    4,340.17x = 6,478.84 × 3,814.71
  4. Step 4: Simplify right side
    4,340.17x = 24,714,895.74
  5. Step 5: Solve for x
    x = 24,714,895.74/4,340.17
  6. Step 6: Final answer
    x = 5,694.45

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Why These Related Problems?

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