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Finding the Fourth Proportional to 5,645.16, 8,408.06 and 5,348.70

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Solution

The fourth proportional to 5,645.16, 8,408.06 and 5,348.70 is: 7,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.16 : 8,408.06 = 5,348.70 : x
  2. Step 2: Convert to fraction form
    5,645.16/8,408.06 = 5,348.70/x
  3. Step 3: Cross multiply
    5,645.16x = 8,408.06 × 5,348.70
  4. Step 4: Simplify right side
    5,645.16x = 44,972,163.78
  5. Step 5: Solve for x
    x = 44,972,163.78/5,645.16
  6. Step 6: Final answer
    x = 7,966.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.