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Finding the Fourth Proportional to 6,296.24, 8,690.78 and 4,306.08

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Solution

The fourth proportional to 6,296.24, 8,690.78 and 4,306.08 is: 5,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.24 : 8,690.78 = 4,306.08 : x
  2. Step 2: Convert to fraction form
    6,296.24/8,690.78 = 4,306.08/x
  3. Step 3: Cross multiply
    6,296.24x = 8,690.78 × 4,306.08
  4. Step 4: Simplify right side
    6,296.24x = 37,423,193.94
  5. Step 5: Solve for x
    x = 37,423,193.94/6,296.24
  6. Step 6: Final answer
    x = 5,943.74

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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.