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Finding the Fourth Proportional to 5,565.70, 8,336.40 and 3,913.30

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Solution

The fourth proportional to 5,565.70, 8,336.40 and 3,913.30 is: 5,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.70 : 8,336.40 = 3,913.30 : x
  2. Step 2: Convert to fraction form
    5,565.70/8,336.40 = 3,913.30/x
  3. Step 3: Cross multiply
    5,565.70x = 8,336.40 × 3,913.30
  4. Step 4: Simplify right side
    5,565.70x = 32,622,834.12
  5. Step 5: Solve for x
    x = 32,622,834.12/5,565.70
  6. Step 6: Final answer
    x = 5,861.41

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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.