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Finding the Fourth Proportional to 5,370.80, 7,406.91 and 3,888.50

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Solution

The fourth proportional to 5,370.80, 7,406.91 and 3,888.50 is: 5,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.80 : 7,406.91 = 3,888.50 : x
  2. Step 2: Convert to fraction form
    5,370.80/7,406.91 = 3,888.50/x
  3. Step 3: Cross multiply
    5,370.80x = 7,406.91 × 3,888.50
  4. Step 4: Simplify right side
    5,370.80x = 28,801,732.50
  5. Step 5: Solve for x
    x = 28,801,732.50/5,370.80
  6. Step 6: Final answer
    x = 5,362.66

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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.