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Finding the Fourth Proportional to 5,877.34, 8,813.78 and 2,366.15

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Solution

The fourth proportional to 5,877.34, 8,813.78 and 2,366.15 is: 3,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.34 : 8,813.78 = 2,366.15 : x
  2. Step 2: Convert to fraction form
    5,877.34/8,813.78 = 2,366.15/x
  3. Step 3: Cross multiply
    5,877.34x = 8,813.78 × 2,366.15
  4. Step 4: Simplify right side
    5,877.34x = 20,854,669.65
  5. Step 5: Solve for x
    x = 20,854,669.65/5,877.34
  6. Step 6: Final answer
    x = 3,548.32

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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.