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Finding the Fourth Proportional to 3,346.72, 5,014.57 and 1,154.24

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Solution

The fourth proportional to 3,346.72, 5,014.57 and 1,154.24 is: 1,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.72 : 5,014.57 = 1,154.24 : x
  2. Step 2: Convert to fraction form
    3,346.72/5,014.57 = 1,154.24/x
  3. Step 3: Cross multiply
    3,346.72x = 5,014.57 × 1,154.24
  4. Step 4: Simplify right side
    3,346.72x = 5,788,017.28
  5. Step 5: Solve for x
    x = 5,788,017.28/3,346.72
  6. Step 6: Final answer
    x = 1,729.46

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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.