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Finding the Fourth Proportional to 5,787.90, 8,661.33 and 3,597.66

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Solution

The fourth proportional to 5,787.90, 8,661.33 and 3,597.66 is: 5,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.90 : 8,661.33 = 3,597.66 : x
  2. Step 2: Convert to fraction form
    5,787.90/8,661.33 = 3,597.66/x
  3. Step 3: Cross multiply
    5,787.90x = 8,661.33 × 3,597.66
  4. Step 4: Simplify right side
    5,787.90x = 31,160,520.49
  5. Step 5: Solve for x
    x = 31,160,520.49/5,787.90
  6. Step 6: Final answer
    x = 5,383.74

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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.