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Finding the Fourth Proportional to 5,101.56, 7,645.14 and 2,178.84

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Solution

The fourth proportional to 5,101.56, 7,645.14 and 2,178.84 is: 3,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.56 : 7,645.14 = 2,178.84 : x
  2. Step 2: Convert to fraction form
    5,101.56/7,645.14 = 2,178.84/x
  3. Step 3: Cross multiply
    5,101.56x = 7,645.14 × 2,178.84
  4. Step 4: Simplify right side
    5,101.56x = 16,657,536.84
  5. Step 5: Solve for x
    x = 16,657,536.84/5,101.56
  6. Step 6: Final answer
    x = 3,265.18

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