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Finding the Fourth Proportional to 3,688.56, 5,089.32 and 2,290.32

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Solution

The fourth proportional to 3,688.56, 5,089.32 and 2,290.32 is: 3,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.56 : 5,089.32 = 2,290.32 : x
  2. Step 2: Convert to fraction form
    3,688.56/5,089.32 = 2,290.32/x
  3. Step 3: Cross multiply
    3,688.56x = 5,089.32 × 2,290.32
  4. Step 4: Simplify right side
    3,688.56x = 11,656,171.38
  5. Step 5: Solve for x
    x = 11,656,171.38/3,688.56
  6. Step 6: Final answer
    x = 3,160.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.