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Finding the Fourth Proportional to 5,826.35, 8,732.23 and 4,588.88

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Solution

The fourth proportional to 5,826.35, 8,732.23 and 4,588.88 is: 6,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.35 : 8,732.23 = 4,588.88 : x
  2. Step 2: Convert to fraction form
    5,826.35/8,732.23 = 4,588.88/x
  3. Step 3: Cross multiply
    5,826.35x = 8,732.23 × 4,588.88
  4. Step 4: Simplify right side
    5,826.35x = 40,071,100.47
  5. Step 5: Solve for x
    x = 40,071,100.47/5,826.35
  6. Step 6: Final answer
    x = 6,877.56

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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.