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Finding the Fourth Proportional to 6,366.65, 8,785.41 and 3,714.29

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Solution

The fourth proportional to 6,366.65, 8,785.41 and 3,714.29 is: 5,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.65 : 8,785.41 = 3,714.29 : x
  2. Step 2: Convert to fraction form
    6,366.65/8,785.41 = 3,714.29/x
  3. Step 3: Cross multiply
    6,366.65x = 8,785.41 × 3,714.29
  4. Step 4: Simplify right side
    6,366.65x = 32,631,560.51
  5. Step 5: Solve for x
    x = 32,631,560.51/6,366.65
  6. Step 6: Final answer
    x = 5,125.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.