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Finding the Fourth Proportional to 5,290.94, 7,298.18 and 3,404.97

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Solution

The fourth proportional to 5,290.94, 7,298.18 and 3,404.97 is: 4,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.94 : 7,298.18 = 3,404.97 : x
  2. Step 2: Convert to fraction form
    5,290.94/7,298.18 = 3,404.97/x
  3. Step 3: Cross multiply
    5,290.94x = 7,298.18 × 3,404.97
  4. Step 4: Simplify right side
    5,290.94x = 24,850,066.93
  5. Step 5: Solve for x
    x = 24,850,066.93/5,290.94
  6. Step 6: Final answer
    x = 4,696.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.