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Finding the Fourth Proportional to 5,714.84, 7,878.92 and 4,120.16

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Solution

The fourth proportional to 5,714.84, 7,878.92 and 4,120.16 is: 5,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.84 : 7,878.92 = 4,120.16 : x
  2. Step 2: Convert to fraction form
    5,714.84/7,878.92 = 4,120.16/x
  3. Step 3: Cross multiply
    5,714.84x = 7,878.92 × 4,120.16
  4. Step 4: Simplify right side
    5,714.84x = 32,462,351.03
  5. Step 5: Solve for x
    x = 32,462,351.03/5,714.84
  6. Step 6: Final answer
    x = 5,680.37

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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.