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Finding the Fourth Proportional to 4,765.84, 6,571.14 and 4,101.55

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Solution

The fourth proportional to 4,765.84, 6,571.14 and 4,101.55 is: 5,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.84 : 6,571.14 = 4,101.55 : x
  2. Step 2: Convert to fraction form
    4,765.84/6,571.14 = 4,101.55/x
  3. Step 3: Cross multiply
    4,765.84x = 6,571.14 × 4,101.55
  4. Step 4: Simplify right side
    4,765.84x = 26,951,859.27
  5. Step 5: Solve for x
    x = 26,951,859.27/4,765.84
  6. Step 6: Final answer
    x = 5,655.22

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