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Finding the Fourth Proportional to 5,564.62, 8,348.64 and 2,277.97

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Solution

The fourth proportional to 5,564.62, 8,348.64 and 2,277.97 is: 3,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.62 : 8,348.64 = 2,277.97 : x
  2. Step 2: Convert to fraction form
    5,564.62/8,348.64 = 2,277.97/x
  3. Step 3: Cross multiply
    5,564.62x = 8,348.64 × 2,277.97
  4. Step 4: Simplify right side
    5,564.62x = 19,017,988.23
  5. Step 5: Solve for x
    x = 19,017,988.23/5,564.62
  6. Step 6: Final answer
    x = 3,417.66

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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.