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Finding the Fourth Proportional to 5,877.56, 8,804.82 and 2,582.84

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Solution

The fourth proportional to 5,877.56, 8,804.82 and 2,582.84 is: 3,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.56 : 8,804.82 = 2,582.84 : x
  2. Step 2: Convert to fraction form
    5,877.56/8,804.82 = 2,582.84/x
  3. Step 3: Cross multiply
    5,877.56x = 8,804.82 × 2,582.84
  4. Step 4: Simplify right side
    5,877.56x = 22,741,441.29
  5. Step 5: Solve for x
    x = 22,741,441.29/5,877.56
  6. Step 6: Final answer
    x = 3,869.20

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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.