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Finding the Fourth Proportional to 5,658.75, 7,809.12 and 3,302.46

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Solution

The fourth proportional to 5,658.75, 7,809.12 and 3,302.46 is: 4,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.75 : 7,809.12 = 3,302.46 : x
  2. Step 2: Convert to fraction form
    5,658.75/7,809.12 = 3,302.46/x
  3. Step 3: Cross multiply
    5,658.75x = 7,809.12 × 3,302.46
  4. Step 4: Simplify right side
    5,658.75x = 25,789,306.44
  5. Step 5: Solve for x
    x = 25,789,306.44/5,658.75
  6. Step 6: Final answer
    x = 4,557.42

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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.