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Finding the Fourth Proportional to 5,160.16, 7,733.76 and 3,702.16

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Solution

The fourth proportional to 5,160.16, 7,733.76 and 3,702.16 is: 5,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.16 : 7,733.76 = 3,702.16 : x
  2. Step 2: Convert to fraction form
    5,160.16/7,733.76 = 3,702.16/x
  3. Step 3: Cross multiply
    5,160.16x = 7,733.76 × 3,702.16
  4. Step 4: Simplify right side
    5,160.16x = 28,631,616.92
  5. Step 5: Solve for x
    x = 28,631,616.92/5,160.16
  6. Step 6: Final answer
    x = 5,548.59

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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.