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Finding the Fourth Proportional to 4,618.84, 6,928.08 and 1,540.84

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Solution

The fourth proportional to 4,618.84, 6,928.08 and 1,540.84 is: 2,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.84 : 6,928.08 = 1,540.84 : x
  2. Step 2: Convert to fraction form
    4,618.84/6,928.08 = 1,540.84/x
  3. Step 3: Cross multiply
    4,618.84x = 6,928.08 × 1,540.84
  4. Step 4: Simplify right side
    4,618.84x = 10,675,062.79
  5. Step 5: Solve for x
    x = 10,675,062.79/4,618.84
  6. Step 6: Final answer
    x = 2,311.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.