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Finding the Fourth Proportional to 3,688.33, 5,089.82 and 2,009.74

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Solution

The fourth proportional to 3,688.33, 5,089.82 and 2,009.74 is: 2,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.33 : 5,089.82 = 2,009.74 : x
  2. Step 2: Convert to fraction form
    3,688.33/5,089.82 = 2,009.74/x
  3. Step 3: Cross multiply
    3,688.33x = 5,089.82 × 2,009.74
  4. Step 4: Simplify right side
    3,688.33x = 10,229,214.85
  5. Step 5: Solve for x
    x = 10,229,214.85/3,688.33
  6. Step 6: Final answer
    x = 2,773.40

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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.