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Finding the Fourth Proportional to 4,869.48, 7,304.64 and 2,934

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Solution

The fourth proportional to 4,869.48, 7,304.64 and 2,934 is: 4,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.48 : 7,304.64 = 2,934 : x
  2. Step 2: Convert to fraction form
    4,869.48/7,304.64 = 2,934/x
  3. Step 3: Cross multiply
    4,869.48x = 7,304.64 × 2,934
  4. Step 4: Simplify right side
    4,869.48x = 21,431,813.76
  5. Step 5: Solve for x
    x = 21,431,813.76/4,869.48
  6. Step 6: Final answer
    x = 4,401.25

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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.