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Finding the Fourth Proportional to 4,872.84, 7,304.94 and 2,561.64

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Solution

The fourth proportional to 4,872.84, 7,304.94 and 2,561.64 is: 3,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.84 : 7,304.94 = 2,561.64 : x
  2. Step 2: Convert to fraction form
    4,872.84/7,304.94 = 2,561.64/x
  3. Step 3: Cross multiply
    4,872.84x = 7,304.94 × 2,561.64
  4. Step 4: Simplify right side
    4,872.84x = 18,712,626.50
  5. Step 5: Solve for x
    x = 18,712,626.50/4,872.84
  6. Step 6: Final answer
    x = 3,840.19

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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.