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Finding the Fourth Proportional to 7,100.04, 9,798.10 and 3,956.44

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Solution

The fourth proportional to 7,100.04, 9,798.10 and 3,956.44 is: 5,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.04 : 9,798.10 = 3,956.44 : x
  2. Step 2: Convert to fraction form
    7,100.04/9,798.10 = 3,956.44/x
  3. Step 3: Cross multiply
    7,100.04x = 9,798.10 × 3,956.44
  4. Step 4: Simplify right side
    7,100.04x = 38,765,594.76
  5. Step 5: Solve for x
    x = 38,765,594.76/7,100.04
  6. Step 6: Final answer
    x = 5,459.91

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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.