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Finding the Fourth Proportional to 4,618.78, 6,916.65 and 2,882.14

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Solution

The fourth proportional to 4,618.78, 6,916.65 and 2,882.14 is: 4,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.78 : 6,916.65 = 2,882.14 : x
  2. Step 2: Convert to fraction form
    4,618.78/6,916.65 = 2,882.14/x
  3. Step 3: Cross multiply
    4,618.78x = 6,916.65 × 2,882.14
  4. Step 4: Simplify right side
    4,618.78x = 19,934,753.63
  5. Step 5: Solve for x
    x = 19,934,753.63/4,618.78
  6. Step 6: Final answer
    x = 4,316.02

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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.