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Finding the Fourth Proportional to 5,882.94, 8,098.08 and 5,085.90

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Solution

The fourth proportional to 5,882.94, 8,098.08 and 5,085.90 is: 7,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.94 : 8,098.08 = 5,085.90 : x
  2. Step 2: Convert to fraction form
    5,882.94/8,098.08 = 5,085.90/x
  3. Step 3: Cross multiply
    5,882.94x = 8,098.08 × 5,085.90
  4. Step 4: Simplify right side
    5,882.94x = 41,186,025.07
  5. Step 5: Solve for x
    x = 41,186,025.07/5,882.94
  6. Step 6: Final answer
    x = 7,000.93

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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.