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Finding the Fourth Proportional to 3,365.32, 5,047.62 and 1,174

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Solution

The fourth proportional to 3,365.32, 5,047.62 and 1,174 is: 1,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.32 : 5,047.62 = 1,174 : x
  2. Step 2: Convert to fraction form
    3,365.32/5,047.62 = 1,174/x
  3. Step 3: Cross multiply
    3,365.32x = 5,047.62 × 1,174
  4. Step 4: Simplify right side
    3,365.32x = 5,925,905.88
  5. Step 5: Solve for x
    x = 5,925,905.88/3,365.32
  6. Step 6: Final answer
    x = 1,760.87

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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.