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Finding the Fourth Proportional to 5,298.71, 7,940.54 and 3,901.08

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Solution

The fourth proportional to 5,298.71, 7,940.54 and 3,901.08 is: 5,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.71 : 7,940.54 = 3,901.08 : x
  2. Step 2: Convert to fraction form
    5,298.71/7,940.54 = 3,901.08/x
  3. Step 3: Cross multiply
    5,298.71x = 7,940.54 × 3,901.08
  4. Step 4: Simplify right side
    5,298.71x = 30,976,674.20
  5. Step 5: Solve for x
    x = 30,976,674.20/5,298.71
  6. Step 6: Final answer
    x = 5,846.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.