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Finding the Fourth Proportional to 4,714.88, 7,036.50 and 4,524.17

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Solution

The fourth proportional to 4,714.88, 7,036.50 and 4,524.17 is: 6,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.88 : 7,036.50 = 4,524.17 : x
  2. Step 2: Convert to fraction form
    4,714.88/7,036.50 = 4,524.17/x
  3. Step 3: Cross multiply
    4,714.88x = 7,036.50 × 4,524.17
  4. Step 4: Simplify right side
    4,714.88x = 31,834,304.34
  5. Step 5: Solve for x
    x = 31,834,304.34/4,714.88
  6. Step 6: Final answer
    x = 6,751.88

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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.