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Finding the Fourth Proportional to 3,482.44, 5,220.16 and 1,402.06

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Solution

The fourth proportional to 3,482.44, 5,220.16 and 1,402.06 is: 2,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.44 : 5,220.16 = 1,402.06 : x
  2. Step 2: Convert to fraction form
    3,482.44/5,220.16 = 1,402.06/x
  3. Step 3: Cross multiply
    3,482.44x = 5,220.16 × 1,402.06
  4. Step 4: Simplify right side
    3,482.44x = 7,318,977.53
  5. Step 5: Solve for x
    x = 7,318,977.53/3,482.44
  6. Step 6: Final answer
    x = 2,101.68

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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.