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Finding the Fourth Proportional to 3,343.57, 5,015.69 and 1,152.01

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Solution

The fourth proportional to 3,343.57, 5,015.69 and 1,152.01 is: 1,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.57 : 5,015.69 = 1,152.01 : x
  2. Step 2: Convert to fraction form
    3,343.57/5,015.69 = 1,152.01/x
  3. Step 3: Cross multiply
    3,343.57x = 5,015.69 × 1,152.01
  4. Step 4: Simplify right side
    3,343.57x = 5,778,125.04
  5. Step 5: Solve for x
    x = 5,778,125.04/3,343.57
  6. Step 6: Final answer
    x = 1,728.13

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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.