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Finding the Fourth Proportional to 4,995.86, 6,885.15 and 3,314.30

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Solution

The fourth proportional to 4,995.86, 6,885.15 and 3,314.30 is: 4,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.86 : 6,885.15 = 3,314.30 : x
  2. Step 2: Convert to fraction form
    4,995.86/6,885.15 = 3,314.30/x
  3. Step 3: Cross multiply
    4,995.86x = 6,885.15 × 3,314.30
  4. Step 4: Simplify right side
    4,995.86x = 22,819,452.65
  5. Step 5: Solve for x
    x = 22,819,452.65/4,995.86
  6. Step 6: Final answer
    x = 4,567.67

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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.