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Finding the Fourth Proportional to 5,907.69, 8,148.42 and 3,888.66

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Solution

The fourth proportional to 5,907.69, 8,148.42 and 3,888.66 is: 5,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.69 : 8,148.42 = 3,888.66 : x
  2. Step 2: Convert to fraction form
    5,907.69/8,148.42 = 3,888.66/x
  3. Step 3: Cross multiply
    5,907.69x = 8,148.42 × 3,888.66
  4. Step 4: Simplify right side
    5,907.69x = 31,686,434.92
  5. Step 5: Solve for x
    x = 31,686,434.92/5,907.69
  6. Step 6: Final answer
    x = 5,363.59

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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.