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Finding the Fourth Proportional to 5,435.70, 8,154 and 1,738.46

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Solution

The fourth proportional to 5,435.70, 8,154 and 1,738.46 is: 2,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.70 : 8,154 = 1,738.46 : x
  2. Step 2: Convert to fraction form
    5,435.70/8,154 = 1,738.46/x
  3. Step 3: Cross multiply
    5,435.70x = 8,154 × 1,738.46
  4. Step 4: Simplify right side
    5,435.70x = 14,175,402.84
  5. Step 5: Solve for x
    x = 14,175,402.84/5,435.70
  6. Step 6: Final answer
    x = 2,607.83

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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.