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Finding the Fourth Proportional to 4,647.66, 6,410.61 and 2,876.19

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Solution

The fourth proportional to 4,647.66, 6,410.61 and 2,876.19 is: 3,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.66 : 6,410.61 = 2,876.19 : x
  2. Step 2: Convert to fraction form
    4,647.66/6,410.61 = 2,876.19/x
  3. Step 3: Cross multiply
    4,647.66x = 6,410.61 × 2,876.19
  4. Step 4: Simplify right side
    4,647.66x = 18,438,132.38
  5. Step 5: Solve for x
    x = 18,438,132.38/4,647.66
  6. Step 6: Final answer
    x = 3,967.19

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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.