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Finding the Fourth Proportional to 5,658.57, 7,809.76 and 3,141.49

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Solution

The fourth proportional to 5,658.57, 7,809.76 and 3,141.49 is: 4,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.57 : 7,809.76 = 3,141.49 : x
  2. Step 2: Convert to fraction form
    5,658.57/7,809.76 = 3,141.49/x
  3. Step 3: Cross multiply
    5,658.57x = 7,809.76 × 3,141.49
  4. Step 4: Simplify right side
    5,658.57x = 24,534,282.94
  5. Step 5: Solve for x
    x = 24,534,282.94/5,658.57
  6. Step 6: Final answer
    x = 4,335.77

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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.