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Finding the Fourth Proportional to 3,333.64, 5,000.70 and 1,142.35

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Solution

The fourth proportional to 3,333.64, 5,000.70 and 1,142.35 is: 1,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.64 : 5,000.70 = 1,142.35 : x
  2. Step 2: Convert to fraction form
    3,333.64/5,000.70 = 1,142.35/x
  3. Step 3: Cross multiply
    3,333.64x = 5,000.70 × 1,142.35
  4. Step 4: Simplify right side
    3,333.64x = 5,712,537.14
  5. Step 5: Solve for x
    x = 5,712,537.14/3,333.64
  6. Step 6: Final answer
    x = 1,713.60

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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.