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Finding the Fourth Proportional to 5,647.16, 7,794.32 and 3,290.66

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Solution

The fourth proportional to 5,647.16, 7,794.32 and 3,290.66 is: 4,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.16 : 7,794.32 = 3,290.66 : x
  2. Step 2: Convert to fraction form
    5,647.16/7,794.32 = 3,290.66/x
  3. Step 3: Cross multiply
    5,647.16x = 7,794.32 × 3,290.66
  4. Step 4: Simplify right side
    5,647.16x = 25,648,401.63
  5. Step 5: Solve for x
    x = 25,648,401.63/5,647.16
  6. Step 6: Final answer
    x = 4,541.83

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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.