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Finding the Fourth Proportional to 6,296.42, 8,685.68 and 3,904.89

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Solution

The fourth proportional to 6,296.42, 8,685.68 and 3,904.89 is: 5,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.42 : 8,685.68 = 3,904.89 : x
  2. Step 2: Convert to fraction form
    6,296.42/8,685.68 = 3,904.89/x
  3. Step 3: Cross multiply
    6,296.42x = 8,685.68 × 3,904.89
  4. Step 4: Simplify right side
    6,296.42x = 33,916,605.45
  5. Step 5: Solve for x
    x = 33,916,605.45/6,296.42
  6. Step 6: Final answer
    x = 5,386.65

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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.