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Finding the Fourth Proportional to 3,482.40, 5,220.09 and 1,534.26

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Solution

The fourth proportional to 3,482.40, 5,220.09 and 1,534.26 is: 2,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.40 : 5,220.09 = 1,534.26 : x
  2. Step 2: Convert to fraction form
    3,482.40/5,220.09 = 1,534.26/x
  3. Step 3: Cross multiply
    3,482.40x = 5,220.09 × 1,534.26
  4. Step 4: Simplify right side
    3,482.40x = 8,008,975.28
  5. Step 5: Solve for x
    x = 8,008,975.28/3,482.40
  6. Step 6: Final answer
    x = 2,299.84

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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.