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Finding the Fourth Proportional to 4,866, 6,727.88 and 4,648.40

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Solution

The fourth proportional to 4,866, 6,727.88 and 4,648.40 is: 6,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866 : 6,727.88 = 4,648.40 : x
  2. Step 2: Convert to fraction form
    4,866/6,727.88 = 4,648.40/x
  3. Step 3: Cross multiply
    4,866x = 6,727.88 × 4,648.40
  4. Step 4: Simplify right side
    4,866x = 31,273,877.39
  5. Step 5: Solve for x
    x = 31,273,877.39/4,866
  6. Step 6: Final answer
    x = 6,427.02

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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.