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Finding the Fourth Proportional to 3,480.42, 5,220.63 and 847.91

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Solution

The fourth proportional to 3,480.42, 5,220.63 and 847.91 is: 1,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.42 : 5,220.63 = 847.91 : x
  2. Step 2: Convert to fraction form
    3,480.42/5,220.63 = 847.91/x
  3. Step 3: Cross multiply
    3,480.42x = 5,220.63 × 847.91
  4. Step 4: Simplify right side
    3,480.42x = 4,426,624.38
  5. Step 5: Solve for x
    x = 4,426,624.38/3,480.42
  6. Step 6: Final answer
    x = 1,271.87

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