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Finding the Fourth Proportional to 3,406.06, 4,700.40 and 2,008.78

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Solution

The fourth proportional to 3,406.06, 4,700.40 and 2,008.78 is: 2,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.06 : 4,700.40 = 2,008.78 : x
  2. Step 2: Convert to fraction form
    3,406.06/4,700.40 = 2,008.78/x
  3. Step 3: Cross multiply
    3,406.06x = 4,700.40 × 2,008.78
  4. Step 4: Simplify right side
    3,406.06x = 9,442,069.51
  5. Step 5: Solve for x
    x = 9,442,069.51/3,406.06
  6. Step 6: Final answer
    x = 2,772.14

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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.