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Finding the Fourth Proportional to 3,780.82, 5,670.72 and 1,315.42

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Solution

The fourth proportional to 3,780.82, 5,670.72 and 1,315.42 is: 1,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.82 : 5,670.72 = 1,315.42 : x
  2. Step 2: Convert to fraction form
    3,780.82/5,670.72 = 1,315.42/x
  3. Step 3: Cross multiply
    3,780.82x = 5,670.72 × 1,315.42
  4. Step 4: Simplify right side
    3,780.82x = 7,459,378.50
  5. Step 5: Solve for x
    x = 7,459,378.50/3,780.82
  6. Step 6: Final answer
    x = 1,972.95

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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.