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Finding the Fourth Proportional to 3,617.84, 5,422.58 and 1,665.95

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Solution

The fourth proportional to 3,617.84, 5,422.58 and 1,665.95 is: 2,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.84 : 5,422.58 = 1,665.95 : x
  2. Step 2: Convert to fraction form
    3,617.84/5,422.58 = 1,665.95/x
  3. Step 3: Cross multiply
    3,617.84x = 5,422.58 × 1,665.95
  4. Step 4: Simplify right side
    3,617.84x = 9,033,711.71
  5. Step 5: Solve for x
    x = 9,033,711.71/3,617.84
  6. Step 6: Final answer
    x = 2,496.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.