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Finding the Fourth Proportional to 5,101.37, 7,652.05 and 1,403.62

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Solution

The fourth proportional to 5,101.37, 7,652.05 and 1,403.62 is: 2,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.37 : 7,652.05 = 1,403.62 : x
  2. Step 2: Convert to fraction form
    5,101.37/7,652.05 = 1,403.62/x
  3. Step 3: Cross multiply
    5,101.37x = 7,652.05 × 1,403.62
  4. Step 4: Simplify right side
    5,101.37x = 10,740,570.42
  5. Step 5: Solve for x
    x = 10,740,570.42/5,101.37
  6. Step 6: Final answer
    x = 2,105.43

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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.