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Finding the Fourth Proportional to 4,869.14, 6,719.58 and 2,773.40

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Solution

The fourth proportional to 4,869.14, 6,719.58 and 2,773.40 is: 3,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.14 : 6,719.58 = 2,773.40 : x
  2. Step 2: Convert to fraction form
    4,869.14/6,719.58 = 2,773.40/x
  3. Step 3: Cross multiply
    4,869.14x = 6,719.58 × 2,773.40
  4. Step 4: Simplify right side
    4,869.14x = 18,636,049.57
  5. Step 5: Solve for x
    x = 18,636,049.57/4,869.14
  6. Step 6: Final answer
    x = 3,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.