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Finding the Fourth Proportional to 4,646.12, 6,410.99 and 2,854.49

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Solution

The fourth proportional to 4,646.12, 6,410.99 and 2,854.49 is: 3,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.12 : 6,410.99 = 2,854.49 : x
  2. Step 2: Convert to fraction form
    4,646.12/6,410.99 = 2,854.49/x
  3. Step 3: Cross multiply
    4,646.12x = 6,410.99 × 2,854.49
  4. Step 4: Simplify right side
    4,646.12x = 18,300,060.52
  5. Step 5: Solve for x
    x = 18,300,060.52/4,646.12
  6. Step 6: Final answer
    x = 3,938.79

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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.