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Finding the Fourth Proportional to 5,902.74, 8,853.98 and 5,121.50

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Solution

The fourth proportional to 5,902.74, 8,853.98 and 5,121.50 is: 7,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.74 : 8,853.98 = 5,121.50 : x
  2. Step 2: Convert to fraction form
    5,902.74/8,853.98 = 5,121.50/x
  3. Step 3: Cross multiply
    5,902.74x = 8,853.98 × 5,121.50
  4. Step 4: Simplify right side
    5,902.74x = 45,345,588.69
  5. Step 5: Solve for x
    x = 45,345,588.69/5,902.74
  6. Step 6: Final answer
    x = 7,682.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.