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Finding the Fourth Proportional to 4,768.74, 6,584.58 and 3,281.58

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Solution

The fourth proportional to 4,768.74, 6,584.58 and 3,281.58 is: 4,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.74 : 6,584.58 = 3,281.58 : x
  2. Step 2: Convert to fraction form
    4,768.74/6,584.58 = 3,281.58/x
  3. Step 3: Cross multiply
    4,768.74x = 6,584.58 × 3,281.58
  4. Step 4: Simplify right side
    4,768.74x = 21,607,826.04
  5. Step 5: Solve for x
    x = 21,607,826.04/4,768.74
  6. Step 6: Final answer
    x = 4,531.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.