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Finding the Fourth Proportional to 4,394.82, 6,535.71 and 4,256.40

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Solution

The fourth proportional to 4,394.82, 6,535.71 and 4,256.40 is: 6,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.82 : 6,535.71 = 4,256.40 : x
  2. Step 2: Convert to fraction form
    4,394.82/6,535.71 = 4,256.40/x
  3. Step 3: Cross multiply
    4,394.82x = 6,535.71 × 4,256.40
  4. Step 4: Simplify right side
    4,394.82x = 27,818,596.04
  5. Step 5: Solve for x
    x = 27,818,596.04/4,394.82
  6. Step 6: Final answer
    x = 6,329.86

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