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Finding the Fourth Proportional to 5,908.50, 8,862.75 and 2,445.84

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Solution

The fourth proportional to 5,908.50, 8,862.75 and 2,445.84 is: 3,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.50 : 8,862.75 = 2,445.84 : x
  2. Step 2: Convert to fraction form
    5,908.50/8,862.75 = 2,445.84/x
  3. Step 3: Cross multiply
    5,908.50x = 8,862.75 × 2,445.84
  4. Step 4: Simplify right side
    5,908.50x = 21,676,868.46
  5. Step 5: Solve for x
    x = 21,676,868.46/5,908.50
  6. Step 6: Final answer
    x = 3,668.76

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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.