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Finding the Fourth Proportional to 6,306.27, 8,702.66 and 3,655.22

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Solution

The fourth proportional to 6,306.27, 8,702.66 and 3,655.22 is: 5,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.27 : 8,702.66 = 3,655.22 : x
  2. Step 2: Convert to fraction form
    6,306.27/8,702.66 = 3,655.22/x
  3. Step 3: Cross multiply
    6,306.27x = 8,702.66 × 3,655.22
  4. Step 4: Simplify right side
    6,306.27x = 31,810,075.10
  5. Step 5: Solve for x
    x = 31,810,075.10/6,306.27
  6. Step 6: Final answer
    x = 5,044.20

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