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Finding the Fourth Proportional to 3,548.71, 5,323.29 and 1,208.06

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Solution

The fourth proportional to 3,548.71, 5,323.29 and 1,208.06 is: 1,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.71 : 5,323.29 = 1,208.06 : x
  2. Step 2: Convert to fraction form
    3,548.71/5,323.29 = 1,208.06/x
  3. Step 3: Cross multiply
    3,548.71x = 5,323.29 × 1,208.06
  4. Step 4: Simplify right side
    3,548.71x = 6,430,882.67
  5. Step 5: Solve for x
    x = 6,430,882.67/3,548.71
  6. Step 6: Final answer
    x = 1,812.17

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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.