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Finding the Fourth Proportional to 3,780.56, 5,670.84 and 1,315.39

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Solution

The fourth proportional to 3,780.56, 5,670.84 and 1,315.39 is: 1,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.56 : 5,670.84 = 1,315.39 : x
  2. Step 2: Convert to fraction form
    3,780.56/5,670.84 = 1,315.39/x
  3. Step 3: Cross multiply
    3,780.56x = 5,670.84 × 1,315.39
  4. Step 4: Simplify right side
    3,780.56x = 7,459,367.62
  5. Step 5: Solve for x
    x = 7,459,367.62/3,780.56
  6. Step 6: Final answer
    x = 1,973.09

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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.