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Finding the Fourth Proportional to 5,794.47, 7,972.56 and 5,631.12

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Solution

The fourth proportional to 5,794.47, 7,972.56 and 5,631.12 is: 7,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.47 : 7,972.56 = 5,631.12 : x
  2. Step 2: Convert to fraction form
    5,794.47/7,972.56 = 5,631.12/x
  3. Step 3: Cross multiply
    5,794.47x = 7,972.56 × 5,631.12
  4. Step 4: Simplify right side
    5,794.47x = 44,894,442.07
  5. Step 5: Solve for x
    x = 44,894,442.07/5,794.47
  6. Step 6: Final answer
    x = 7,747.81

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1.5x scale

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.