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Finding the Fourth Proportional to 5,767.84, 8,637.88 and 3,913.32

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Solution

The fourth proportional to 5,767.84, 8,637.88 and 3,913.32 is: 5,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.84 : 8,637.88 = 3,913.32 : x
  2. Step 2: Convert to fraction form
    5,767.84/8,637.88 = 3,913.32/x
  3. Step 3: Cross multiply
    5,767.84x = 8,637.88 × 3,913.32
  4. Step 4: Simplify right side
    5,767.84x = 33,802,788.56
  5. Step 5: Solve for x
    x = 33,802,788.56/5,767.84
  6. Step 6: Final answer
    x = 5,860.56

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Why These Related Problems?

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