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Finding the Fourth Proportional to 6,490.08, 8,959.68 and 3,975.84

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Solution

The fourth proportional to 6,490.08, 8,959.68 and 3,975.84 is: 5,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.08 : 8,959.68 = 3,975.84 : x
  2. Step 2: Convert to fraction form
    6,490.08/8,959.68 = 3,975.84/x
  3. Step 3: Cross multiply
    6,490.08x = 8,959.68 × 3,975.84
  4. Step 4: Simplify right side
    6,490.08x = 35,622,254.13
  5. Step 5: Solve for x
    x = 35,622,254.13/6,490.08
  6. Step 6: Final answer
    x = 5,488.72

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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.