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Finding the Fourth Proportional to 3,607.76, 5,412.26 and 1,142.54

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Solution

The fourth proportional to 3,607.76, 5,412.26 and 1,142.54 is: 1,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.76 : 5,412.26 = 1,142.54 : x
  2. Step 2: Convert to fraction form
    3,607.76/5,412.26 = 1,142.54/x
  3. Step 3: Cross multiply
    3,607.76x = 5,412.26 × 1,142.54
  4. Step 4: Simplify right side
    3,607.76x = 6,183,723.54
  5. Step 5: Solve for x
    x = 6,183,723.54/3,607.76
  6. Step 6: Final answer
    x = 1,714.01

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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.