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Finding the Fourth Proportional to 5,878.16, 8,106.54 and 3,890.69

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Solution

The fourth proportional to 5,878.16, 8,106.54 and 3,890.69 is: 5,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.16 : 8,106.54 = 3,890.69 : x
  2. Step 2: Convert to fraction form
    5,878.16/8,106.54 = 3,890.69/x
  3. Step 3: Cross multiply
    5,878.16x = 8,106.54 × 3,890.69
  4. Step 4: Simplify right side
    5,878.16x = 31,540,034.11
  5. Step 5: Solve for x
    x = 31,540,034.11/5,878.16
  6. Step 6: Final answer
    x = 5,365.63

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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.