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Finding the Fourth Proportional to 5,658.91, 7,817.17 and 5,382.12

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Solution

The fourth proportional to 5,658.91, 7,817.17 and 5,382.12 is: 7,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.91 : 7,817.17 = 5,382.12 : x
  2. Step 2: Convert to fraction form
    5,658.91/7,817.17 = 5,382.12/x
  3. Step 3: Cross multiply
    5,658.91x = 7,817.17 × 5,382.12
  4. Step 4: Simplify right side
    5,658.91x = 42,072,881.00
  5. Step 5: Solve for x
    x = 42,072,881.00/5,658.91
  6. Step 6: Final answer
    x = 7,434.81

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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.