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Finding the Fourth Proportional to 3,648.60, 5,468.94 and 1,306.32

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Solution

The fourth proportional to 3,648.60, 5,468.94 and 1,306.32 is: 1,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.60 : 5,468.94 = 1,306.32 : x
  2. Step 2: Convert to fraction form
    3,648.60/5,468.94 = 1,306.32/x
  3. Step 3: Cross multiply
    3,648.60x = 5,468.94 × 1,306.32
  4. Step 4: Simplify right side
    3,648.60x = 7,144,185.70
  5. Step 5: Solve for x
    x = 7,144,185.70/3,648.60
  6. Step 6: Final answer
    x = 1,958.06

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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.