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Finding the Fourth Proportional to 3,652.54, 5,478.27 and 1,343.50

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Solution

The fourth proportional to 3,652.54, 5,478.27 and 1,343.50 is: 2,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.54 : 5,478.27 = 1,343.50 : x
  2. Step 2: Convert to fraction form
    3,652.54/5,478.27 = 1,343.50/x
  3. Step 3: Cross multiply
    3,652.54x = 5,478.27 × 1,343.50
  4. Step 4: Simplify right side
    3,652.54x = 7,360,055.75
  5. Step 5: Solve for x
    x = 7,360,055.75/3,652.54
  6. Step 6: Final answer
    x = 2,015.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.