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Finding the Fourth Proportional to 5,793.42, 7,988.58 and 4,304.10

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Solution

The fourth proportional to 5,793.42, 7,988.58 and 4,304.10 is: 5,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.42 : 7,988.58 = 4,304.10 : x
  2. Step 2: Convert to fraction form
    5,793.42/7,988.58 = 4,304.10/x
  3. Step 3: Cross multiply
    5,793.42x = 7,988.58 × 4,304.10
  4. Step 4: Simplify right side
    5,793.42x = 34,383,647.18
  5. Step 5: Solve for x
    x = 34,383,647.18/5,793.42
  6. Step 6: Final answer
    x = 5,934.95

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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.