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Finding the Fourth Proportional to 3,607.58, 5,411.20 and 1,142.54

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Solution

The fourth proportional to 3,607.58, 5,411.20 and 1,142.54 is: 1,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.58 : 5,411.20 = 1,142.54 : x
  2. Step 2: Convert to fraction form
    3,607.58/5,411.20 = 1,142.54/x
  3. Step 3: Cross multiply
    3,607.58x = 5,411.20 × 1,142.54
  4. Step 4: Simplify right side
    3,607.58x = 6,182,512.45
  5. Step 5: Solve for x
    x = 6,182,512.45/3,607.58
  6. Step 6: Final answer
    x = 1,713.76

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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.