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Finding the Fourth Proportional to 3,334.46, 5,000.52 and 1,142.68

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Solution

The fourth proportional to 3,334.46, 5,000.52 and 1,142.68 is: 1,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.46 : 5,000.52 = 1,142.68 : x
  2. Step 2: Convert to fraction form
    3,334.46/5,000.52 = 1,142.68/x
  3. Step 3: Cross multiply
    3,334.46x = 5,000.52 × 1,142.68
  4. Step 4: Simplify right side
    3,334.46x = 5,713,994.19
  5. Step 5: Solve for x
    x = 5,713,994.19/3,334.46
  6. Step 6: Final answer
    x = 1,713.62

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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.