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Finding the Fourth Proportional to 3,743.56, 5,615.13 and 1,146.49

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Solution

The fourth proportional to 3,743.56, 5,615.13 and 1,146.49 is: 1,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.56 : 5,615.13 = 1,146.49 : x
  2. Step 2: Convert to fraction form
    3,743.56/5,615.13 = 1,146.49/x
  3. Step 3: Cross multiply
    3,743.56x = 5,615.13 × 1,146.49
  4. Step 4: Simplify right side
    3,743.56x = 6,437,690.39
  5. Step 5: Solve for x
    x = 6,437,690.39/3,743.56
  6. Step 6: Final answer
    x = 1,719.67

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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.