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Finding the Fourth Proportional to 3,740.51, 5,610.74 and 966.95

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Solution

The fourth proportional to 3,740.51, 5,610.74 and 966.95 is: 1,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.51 : 5,610.74 = 966.95 : x
  2. Step 2: Convert to fraction form
    3,740.51/5,610.74 = 966.95/x
  3. Step 3: Cross multiply
    3,740.51x = 5,610.74 × 966.95
  4. Step 4: Simplify right side
    3,740.51x = 5,425,279.41
  5. Step 5: Solve for x
    x = 5,425,279.41/3,740.51
  6. Step 6: Final answer
    x = 1,450.41

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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.