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Finding the Fourth Proportional to 3,835.84, 5,753.70 and 1,203.40

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Solution

The fourth proportional to 3,835.84, 5,753.70 and 1,203.40 is: 1,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.84 : 5,753.70 = 1,203.40 : x
  2. Step 2: Convert to fraction form
    3,835.84/5,753.70 = 1,203.40/x
  3. Step 3: Cross multiply
    3,835.84x = 5,753.70 × 1,203.40
  4. Step 4: Simplify right side
    3,835.84x = 6,924,002.58
  5. Step 5: Solve for x
    x = 6,924,002.58/3,835.84
  6. Step 6: Final answer
    x = 1,805.08

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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.