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Finding the Fourth Proportional to 5,247.08, 7,870.67 and 3,054.41

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Solution

The fourth proportional to 5,247.08, 7,870.67 and 3,054.41 is: 4,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.08 : 7,870.67 = 3,054.41 : x
  2. Step 2: Convert to fraction form
    5,247.08/7,870.67 = 3,054.41/x
  3. Step 3: Cross multiply
    5,247.08x = 7,870.67 × 3,054.41
  4. Step 4: Simplify right side
    5,247.08x = 24,040,239.50
  5. Step 5: Solve for x
    x = 24,040,239.50/5,247.08
  6. Step 6: Final answer
    x = 4,581.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.