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Finding the Fourth Proportional to 3,901.91, 5,852.10 and 3,247.99

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Solution

The fourth proportional to 3,901.91, 5,852.10 and 3,247.99 is: 4,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.91 : 5,852.10 = 3,247.99 : x
  2. Step 2: Convert to fraction form
    3,901.91/5,852.10 = 3,247.99/x
  3. Step 3: Cross multiply
    3,901.91x = 5,852.10 × 3,247.99
  4. Step 4: Simplify right side
    3,901.91x = 19,007,547.65
  5. Step 5: Solve for x
    x = 19,007,547.65/3,901.91
  6. Step 6: Final answer
    x = 4,871.35

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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.