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Finding the Fourth Proportional to 3,435.84, 5,154.84 and 1,355.76

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Solution

The fourth proportional to 3,435.84, 5,154.84 and 1,355.76 is: 2,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.84 : 5,154.84 = 1,355.76 : x
  2. Step 2: Convert to fraction form
    3,435.84/5,154.84 = 1,355.76/x
  3. Step 3: Cross multiply
    3,435.84x = 5,154.84 × 1,355.76
  4. Step 4: Simplify right side
    3,435.84x = 6,988,725.88
  5. Step 5: Solve for x
    x = 6,988,725.88/3,435.84
  6. Step 6: Final answer
    x = 2,034.07

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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.