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Finding the Fourth Proportional to 3,520.64, 4,856.28 and 2,820.80

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Solution

The fourth proportional to 3,520.64, 4,856.28 and 2,820.80 is: 3,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.64 : 4,856.28 = 2,820.80 : x
  2. Step 2: Convert to fraction form
    3,520.64/4,856.28 = 2,820.80/x
  3. Step 3: Cross multiply
    3,520.64x = 4,856.28 × 2,820.80
  4. Step 4: Simplify right side
    3,520.64x = 13,698,594.62
  5. Step 5: Solve for x
    x = 13,698,594.62/3,520.64
  6. Step 6: Final answer
    x = 3,890.94

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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.