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Finding the Fourth Proportional to 3,389.60, 5,084.94 and 1,049.51

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Solution

The fourth proportional to 3,389.60, 5,084.94 and 1,049.51 is: 1,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.60 : 5,084.94 = 1,049.51 : x
  2. Step 2: Convert to fraction form
    3,389.60/5,084.94 = 1,049.51/x
  3. Step 3: Cross multiply
    3,389.60x = 5,084.94 × 1,049.51
  4. Step 4: Simplify right side
    3,389.60x = 5,336,695.38
  5. Step 5: Solve for x
    x = 5,336,695.38/3,389.60
  6. Step 6: Final answer
    x = 1,574.43

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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.