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Finding the Fourth Proportional to 4,858, 6,701.64 and 3,064.66

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Solution

The fourth proportional to 4,858, 6,701.64 and 3,064.66 is: 4,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858 : 6,701.64 = 3,064.66 : x
  2. Step 2: Convert to fraction form
    4,858/6,701.64 = 3,064.66/x
  3. Step 3: Cross multiply
    4,858x = 6,701.64 × 3,064.66
  4. Step 4: Simplify right side
    4,858x = 20,538,248.04
  5. Step 5: Solve for x
    x = 20,538,248.04/4,858
  6. Step 6: Final answer
    x = 4,227.72

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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.