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Finding the Fourth Proportional to 5,800.17, 8,701.89 and 2,288.01

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Solution

The fourth proportional to 5,800.17, 8,701.89 and 2,288.01 is: 3,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.17 : 8,701.89 = 2,288.01 : x
  2. Step 2: Convert to fraction form
    5,800.17/8,701.89 = 2,288.01/x
  3. Step 3: Cross multiply
    5,800.17x = 8,701.89 × 2,288.01
  4. Step 4: Simplify right side
    5,800.17x = 19,910,011.34
  5. Step 5: Solve for x
    x = 19,910,011.34/5,800.17
  6. Step 6: Final answer
    x = 3,432.66

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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.