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Finding the Fourth Proportional to 4,929.64, 6,803.04 and 2,691.66

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Solution

The fourth proportional to 4,929.64, 6,803.04 and 2,691.66 is: 3,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.64 : 6,803.04 = 2,691.66 : x
  2. Step 2: Convert to fraction form
    4,929.64/6,803.04 = 2,691.66/x
  3. Step 3: Cross multiply
    4,929.64x = 6,803.04 × 2,691.66
  4. Step 4: Simplify right side
    4,929.64x = 18,311,470.65
  5. Step 5: Solve for x
    x = 18,311,470.65/4,929.64
  6. Step 6: Final answer
    x = 3,714.57

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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.