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Finding the Fourth Proportional to 5,588.16, 8,385.30 and 3,398.42

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Solution

The fourth proportional to 5,588.16, 8,385.30 and 3,398.42 is: 5,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.16 : 8,385.30 = 3,398.42 : x
  2. Step 2: Convert to fraction form
    5,588.16/8,385.30 = 3,398.42/x
  3. Step 3: Cross multiply
    5,588.16x = 8,385.30 × 3,398.42
  4. Step 4: Simplify right side
    5,588.16x = 28,496,771.23
  5. Step 5: Solve for x
    x = 28,496,771.23/5,588.16
  6. Step 6: Final answer
    x = 5,099.50

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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.