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Finding the Fourth Proportional to 3,335.46, 4,997.71 and 1,142.99

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Solution

The fourth proportional to 3,335.46, 4,997.71 and 1,142.99 is: 1,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.46 : 4,997.71 = 1,142.99 : x
  2. Step 2: Convert to fraction form
    3,335.46/4,997.71 = 1,142.99/x
  3. Step 3: Cross multiply
    3,335.46x = 4,997.71 × 1,142.99
  4. Step 4: Simplify right side
    3,335.46x = 5,712,332.55
  5. Step 5: Solve for x
    x = 5,712,332.55/3,335.46
  6. Step 6: Final answer
    x = 1,712.61

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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.