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Finding the Fourth Proportional to 5,682.54, 7,841.91 and 3,325.13

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Solution

The fourth proportional to 5,682.54, 7,841.91 and 3,325.13 is: 4,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.54 : 7,841.91 = 3,325.13 : x
  2. Step 2: Convert to fraction form
    5,682.54/7,841.91 = 3,325.13/x
  3. Step 3: Cross multiply
    5,682.54x = 7,841.91 × 3,325.13
  4. Step 4: Simplify right side
    5,682.54x = 26,075,370.20
  5. Step 5: Solve for x
    x = 26,075,370.20/5,682.54
  6. Step 6: Final answer
    x = 4,588.68

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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.