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Finding the Fourth Proportional to 3,564.67, 5,342.15 and 2,178.49

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Solution

The fourth proportional to 3,564.67, 5,342.15 and 2,178.49 is: 3,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.67 : 5,342.15 = 2,178.49 : x
  2. Step 2: Convert to fraction form
    3,564.67/5,342.15 = 2,178.49/x
  3. Step 3: Cross multiply
    3,564.67x = 5,342.15 × 2,178.49
  4. Step 4: Simplify right side
    3,564.67x = 11,637,809.46
  5. Step 5: Solve for x
    x = 11,637,809.46/3,564.67
  6. Step 6: Final answer
    x = 3,264.76

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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.