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Finding the Fourth Proportional to 5,285.37, 7,282.06 and 3,489.65

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Solution

The fourth proportional to 5,285.37, 7,282.06 and 3,489.65 is: 4,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.37 : 7,282.06 = 3,489.65 : x
  2. Step 2: Convert to fraction form
    5,285.37/7,282.06 = 3,489.65/x
  3. Step 3: Cross multiply
    5,285.37x = 7,282.06 × 3,489.65
  4. Step 4: Simplify right side
    5,285.37x = 25,411,795.54
  5. Step 5: Solve for x
    x = 25,411,795.54/5,285.37
  6. Step 6: Final answer
    x = 4,807.95

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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.