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Finding the Fourth Proportional to 5,869.29, 8,805.46 and 1,709.20

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Solution

The fourth proportional to 5,869.29, 8,805.46 and 1,709.20 is: 2,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.29 : 8,805.46 = 1,709.20 : x
  2. Step 2: Convert to fraction form
    5,869.29/8,805.46 = 1,709.20/x
  3. Step 3: Cross multiply
    5,869.29x = 8,805.46 × 1,709.20
  4. Step 4: Simplify right side
    5,869.29x = 15,050,302.17
  5. Step 5: Solve for x
    x = 15,050,302.17/5,869.29
  6. Step 6: Final answer
    x = 2,564.25

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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.