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Finding the Fourth Proportional to 4,964.04, 7,442.08 and 3,400.20

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Solution

The fourth proportional to 4,964.04, 7,442.08 and 3,400.20 is: 5,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.04 : 7,442.08 = 3,400.20 : x
  2. Step 2: Convert to fraction form
    4,964.04/7,442.08 = 3,400.20/x
  3. Step 3: Cross multiply
    4,964.04x = 7,442.08 × 3,400.20
  4. Step 4: Simplify right side
    4,964.04x = 25,304,560.42
  5. Step 5: Solve for x
    x = 25,304,560.42/4,964.04
  6. Step 6: Final answer
    x = 5,097.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.