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Finding the Fourth Proportional to 3,970.53, 5,478.94 and 2,202.10

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Solution

The fourth proportional to 3,970.53, 5,478.94 and 2,202.10 is: 3,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.53 : 5,478.94 = 2,202.10 : x
  2. Step 2: Convert to fraction form
    3,970.53/5,478.94 = 2,202.10/x
  3. Step 3: Cross multiply
    3,970.53x = 5,478.94 × 2,202.10
  4. Step 4: Simplify right side
    3,970.53x = 12,065,135.37
  5. Step 5: Solve for x
    x = 12,065,135.37/3,970.53
  6. Step 6: Final answer
    x = 3,038.68

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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.