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Finding the Fourth Proportional to 4,601.61, 6,867.05 and 4,575.31

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Solution

The fourth proportional to 4,601.61, 6,867.05 and 4,575.31 is: 6,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.61 : 6,867.05 = 4,575.31 : x
  2. Step 2: Convert to fraction form
    4,601.61/6,867.05 = 4,575.31/x
  3. Step 3: Cross multiply
    4,601.61x = 6,867.05 × 4,575.31
  4. Step 4: Simplify right side
    4,601.61x = 31,418,842.49
  5. Step 5: Solve for x
    x = 31,418,842.49/4,601.61
  6. Step 6: Final answer
    x = 6,827.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.