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Finding the Fourth Proportional to 5,780.97, 7,960.68 and 4,835.09

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Solution

The fourth proportional to 5,780.97, 7,960.68 and 4,835.09 is: 6,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.97 : 7,960.68 = 4,835.09 : x
  2. Step 2: Convert to fraction form
    5,780.97/7,960.68 = 4,835.09/x
  3. Step 3: Cross multiply
    5,780.97x = 7,960.68 × 4,835.09
  4. Step 4: Simplify right side
    5,780.97x = 38,490,624.16
  5. Step 5: Solve for x
    x = 38,490,624.16/5,780.97
  6. Step 6: Final answer
    x = 6,658.16

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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.