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Finding the Fourth Proportional to 3,566.88, 5,344.56 and 2,196

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Solution

The fourth proportional to 3,566.88, 5,344.56 and 2,196 is: 3,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.88 : 5,344.56 = 2,196 : x
  2. Step 2: Convert to fraction form
    3,566.88/5,344.56 = 2,196/x
  3. Step 3: Cross multiply
    3,566.88x = 5,344.56 × 2,196
  4. Step 4: Simplify right side
    3,566.88x = 11,736,653.76
  5. Step 5: Solve for x
    x = 11,736,653.76/3,566.88
  6. Step 6: Final answer
    x = 3,290.45

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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.