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Finding the Fourth Proportional to 3,480.24, 5,220.36 and 847.72

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Solution

The fourth proportional to 3,480.24, 5,220.36 and 847.72 is: 1,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.24 : 5,220.36 = 847.72 : x
  2. Step 2: Convert to fraction form
    3,480.24/5,220.36 = 847.72/x
  3. Step 3: Cross multiply
    3,480.24x = 5,220.36 × 847.72
  4. Step 4: Simplify right side
    3,480.24x = 4,425,403.58
  5. Step 5: Solve for x
    x = 4,425,403.58/3,480.24
  6. Step 6: Final answer
    x = 1,271.58

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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.