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Finding the Fourth Proportional to 6,061.92, 8,364.16 and 3,408.36

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Solution

The fourth proportional to 6,061.92, 8,364.16 and 3,408.36 is: 4,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.92 : 8,364.16 = 3,408.36 : x
  2. Step 2: Convert to fraction form
    6,061.92/8,364.16 = 3,408.36/x
  3. Step 3: Cross multiply
    6,061.92x = 8,364.16 × 3,408.36
  4. Step 4: Simplify right side
    6,061.92x = 28,508,068.38
  5. Step 5: Solve for x
    x = 28,508,068.38/6,061.92
  6. Step 6: Final answer
    x = 4,702.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.