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Finding the Fourth Proportional to 5,296.66, 7,305.26 and 3,702.78

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Solution

The fourth proportional to 5,296.66, 7,305.26 and 3,702.78 is: 5,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.66 : 7,305.26 = 3,702.78 : x
  2. Step 2: Convert to fraction form
    5,296.66/7,305.26 = 3,702.78/x
  3. Step 3: Cross multiply
    5,296.66x = 7,305.26 × 3,702.78
  4. Step 4: Simplify right side
    5,296.66x = 27,049,752.11
  5. Step 5: Solve for x
    x = 27,049,752.11/5,296.66
  6. Step 6: Final answer
    x = 5,106.95

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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.