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Finding the Fourth Proportional to 3,482.98, 5,225.15 and 3,134.42

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Solution

The fourth proportional to 3,482.98, 5,225.15 and 3,134.42 is: 4,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.98 : 5,225.15 = 3,134.42 : x
  2. Step 2: Convert to fraction form
    3,482.98/5,225.15 = 3,134.42/x
  3. Step 3: Cross multiply
    3,482.98x = 5,225.15 × 3,134.42
  4. Step 4: Simplify right side
    3,482.98x = 16,377,814.66
  5. Step 5: Solve for x
    x = 16,377,814.66/3,482.98
  6. Step 6: Final answer
    x = 4,702.24

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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.