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Finding the Fourth Proportional to 5,602.27, 8,401.44 and 1,652.48

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Solution

The fourth proportional to 5,602.27, 8,401.44 and 1,652.48 is: 2,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.27 : 8,401.44 = 1,652.48 : x
  2. Step 2: Convert to fraction form
    5,602.27/8,401.44 = 1,652.48/x
  3. Step 3: Cross multiply
    5,602.27x = 8,401.44 × 1,652.48
  4. Step 4: Simplify right side
    5,602.27x = 13,883,194.70
  5. Step 5: Solve for x
    x = 13,883,194.70/5,602.27
  6. Step 6: Final answer
    x = 2,478.14

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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.