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Finding the Fourth Proportional to 6,488.69, 8,954.28 and 3,656.31

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Solution

The fourth proportional to 6,488.69, 8,954.28 and 3,656.31 is: 5,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.69 : 8,954.28 = 3,656.31 : x
  2. Step 2: Convert to fraction form
    6,488.69/8,954.28 = 3,656.31/x
  3. Step 3: Cross multiply
    6,488.69x = 8,954.28 × 3,656.31
  4. Step 4: Simplify right side
    6,488.69x = 32,739,680.91
  5. Step 5: Solve for x
    x = 32,739,680.91/6,488.69
  6. Step 6: Final answer
    x = 5,045.65

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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.