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Finding the Fourth Proportional to 6,488.16, 8,954.33 and 3,971.93

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Solution

The fourth proportional to 6,488.16, 8,954.33 and 3,971.93 is: 5,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.16 : 8,954.33 = 3,971.93 : x
  2. Step 2: Convert to fraction form
    6,488.16/8,954.33 = 3,971.93/x
  3. Step 3: Cross multiply
    6,488.16x = 8,954.33 × 3,971.93
  4. Step 4: Simplify right side
    6,488.16x = 35,565,974.48
  5. Step 5: Solve for x
    x = 35,565,974.48/6,488.16
  6. Step 6: Final answer
    x = 5,481.67

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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.