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Finding the Fourth Proportional to 5,698.85, 8,545.44 and 1,749.16

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Solution

The fourth proportional to 5,698.85, 8,545.44 and 1,749.16 is: 2,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.85 : 8,545.44 = 1,749.16 : x
  2. Step 2: Convert to fraction form
    5,698.85/8,545.44 = 1,749.16/x
  3. Step 3: Cross multiply
    5,698.85x = 8,545.44 × 1,749.16
  4. Step 4: Simplify right side
    5,698.85x = 14,947,299.10
  5. Step 5: Solve for x
    x = 14,947,299.10/5,698.85
  6. Step 6: Final answer
    x = 2,622.86

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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.