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Finding the Fourth Proportional to 3,402.33, 5,098.70 and 2,705.90

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Solution

The fourth proportional to 3,402.33, 5,098.70 and 2,705.90 is: 4,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.33 : 5,098.70 = 2,705.90 : x
  2. Step 2: Convert to fraction form
    3,402.33/5,098.70 = 2,705.90/x
  3. Step 3: Cross multiply
    3,402.33x = 5,098.70 × 2,705.90
  4. Step 4: Simplify right side
    3,402.33x = 13,796,602.82
  5. Step 5: Solve for x
    x = 13,796,602.82/3,402.33
  6. Step 6: Final answer
    x = 4,055.05

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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.