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Finding the Fourth Proportional to 3,435.84, 5,151.20 and 1,705.68

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Solution

The fourth proportional to 3,435.84, 5,151.20 and 1,705.68 is: 2,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.84 : 5,151.20 = 1,705.68 : x
  2. Step 2: Convert to fraction form
    3,435.84/5,151.20 = 1,705.68/x
  3. Step 3: Cross multiply
    3,435.84x = 5,151.20 × 1,705.68
  4. Step 4: Simplify right side
    3,435.84x = 8,786,290.29
  5. Step 5: Solve for x
    x = 8,786,290.29/3,435.84
  6. Step 6: Final answer
    x = 2,557.25

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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.