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Finding the Fourth Proportional to 3,349.96, 5,020.38 and 1,156.68

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Solution

The fourth proportional to 3,349.96, 5,020.38 and 1,156.68 is: 1,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.96 : 5,020.38 = 1,156.68 : x
  2. Step 2: Convert to fraction form
    3,349.96/5,020.38 = 1,156.68/x
  3. Step 3: Cross multiply
    3,349.96x = 5,020.38 × 1,156.68
  4. Step 4: Simplify right side
    3,349.96x = 5,806,973.14
  5. Step 5: Solve for x
    x = 5,806,973.14/3,349.96
  6. Step 6: Final answer
    x = 1,733.45

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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.