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Finding the Fourth Proportional to 3,607.35, 5,411.83 and 1,142.31

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Solution

The fourth proportional to 3,607.35, 5,411.83 and 1,142.31 is: 1,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.35 : 5,411.83 = 1,142.31 : x
  2. Step 2: Convert to fraction form
    3,607.35/5,411.83 = 1,142.31/x
  3. Step 3: Cross multiply
    3,607.35x = 5,411.83 × 1,142.31
  4. Step 4: Simplify right side
    3,607.35x = 6,181,987.53
  5. Step 5: Solve for x
    x = 6,181,987.53/3,607.35
  6. Step 6: Final answer
    x = 1,713.72

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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.