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Finding the Fourth Proportional to 4,154.84, 5,734.16 and 2,385.80

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Solution

The fourth proportional to 4,154.84, 5,734.16 and 2,385.80 is: 3,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.84 : 5,734.16 = 2,385.80 : x
  2. Step 2: Convert to fraction form
    4,154.84/5,734.16 = 2,385.80/x
  3. Step 3: Cross multiply
    4,154.84x = 5,734.16 × 2,385.80
  4. Step 4: Simplify right side
    4,154.84x = 13,680,558.93
  5. Step 5: Solve for x
    x = 13,680,558.93/4,154.84
  6. Step 6: Final answer
    x = 3,292.68

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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.