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Finding the Fourth Proportional to 3,482.72, 5,222.84 and 1,508.26

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Solution

The fourth proportional to 3,482.72, 5,222.84 and 1,508.26 is: 2,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.72 : 5,222.84 = 1,508.26 : x
  2. Step 2: Convert to fraction form
    3,482.72/5,222.84 = 1,508.26/x
  3. Step 3: Cross multiply
    3,482.72x = 5,222.84 × 1,508.26
  4. Step 4: Simplify right side
    3,482.72x = 7,877,400.66
  5. Step 5: Solve for x
    x = 7,877,400.66/3,482.72
  6. Step 6: Final answer
    x = 2,261.85

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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.