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Finding the Fourth Proportional to 3,564.60, 5,344.16 and 2,178.58

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Solution

The fourth proportional to 3,564.60, 5,344.16 and 2,178.58 is: 3,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.60 : 5,344.16 = 2,178.58 : x
  2. Step 2: Convert to fraction form
    3,564.60/5,344.16 = 2,178.58/x
  3. Step 3: Cross multiply
    3,564.60x = 5,344.16 × 2,178.58
  4. Step 4: Simplify right side
    3,564.60x = 11,642,680.09
  5. Step 5: Solve for x
    x = 11,642,680.09/3,564.60
  6. Step 6: Final answer
    x = 3,266.20

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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.