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Finding the Fourth Proportional to 5,604.46, 8,408.00 and 3,140.98

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Solution

The fourth proportional to 5,604.46, 8,408.00 and 3,140.98 is: 4,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.46 : 8,408.00 = 3,140.98 : x
  2. Step 2: Convert to fraction form
    5,604.46/8,408.00 = 3,140.98/x
  3. Step 3: Cross multiply
    5,604.46x = 8,408.00 × 3,140.98
  4. Step 4: Simplify right side
    5,604.46x = 26,409,346.67
  5. Step 5: Solve for x
    x = 26,409,346.67/5,604.46
  6. Step 6: Final answer
    x = 4,712.20

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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.