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Finding the Fourth Proportional to 5,970.49, 8,238.87 and 3,281.65

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Solution

The fourth proportional to 5,970.49, 8,238.87 and 3,281.65 is: 4,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.49 : 8,238.87 = 3,281.65 : x
  2. Step 2: Convert to fraction form
    5,970.49/8,238.87 = 3,281.65/x
  3. Step 3: Cross multiply
    5,970.49x = 8,238.87 × 3,281.65
  4. Step 4: Simplify right side
    5,970.49x = 27,037,087.74
  5. Step 5: Solve for x
    x = 27,037,087.74/5,970.49
  6. Step 6: Final answer
    x = 4,528.45

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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.