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Finding the Fourth Proportional to 4,714.84, 7,037.69 and 4,161.34

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Solution

The fourth proportional to 4,714.84, 7,037.69 and 4,161.34 is: 6,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.84 : 7,037.69 = 4,161.34 : x
  2. Step 2: Convert to fraction form
    4,714.84/7,037.69 = 4,161.34/x
  3. Step 3: Cross multiply
    4,714.84x = 7,037.69 × 4,161.34
  4. Step 4: Simplify right side
    4,714.84x = 29,286,220.90
  5. Step 5: Solve for x
    x = 29,286,220.90/4,714.84
  6. Step 6: Final answer
    x = 6,211.50

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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.