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Finding the Fourth Proportional to 3,389.62, 5,054.65 and 3,120.38

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Solution

The fourth proportional to 3,389.62, 5,054.65 and 3,120.38 is: 4,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.62 : 5,054.65 = 3,120.38 : x
  2. Step 2: Convert to fraction form
    3,389.62/5,054.65 = 3,120.38/x
  3. Step 3: Cross multiply
    3,389.62x = 5,054.65 × 3,120.38
  4. Step 4: Simplify right side
    3,389.62x = 15,772,428.77
  5. Step 5: Solve for x
    x = 15,772,428.77/3,389.62
  6. Step 6: Final answer
    x = 4,653.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.