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Finding the Fourth Proportional to 5,877.29, 8,815.99 and 1,494.75

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Solution

The fourth proportional to 5,877.29, 8,815.99 and 1,494.75 is: 2,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.29 : 8,815.99 = 1,494.75 : x
  2. Step 2: Convert to fraction form
    5,877.29/8,815.99 = 1,494.75/x
  3. Step 3: Cross multiply
    5,877.29x = 8,815.99 × 1,494.75
  4. Step 4: Simplify right side
    5,877.29x = 13,177,653.24
  5. Step 5: Solve for x
    x = 13,177,653.24/5,877.29
  6. Step 6: Final answer
    x = 2,242.13

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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.