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Finding the Fourth Proportional to 3,333.84, 5,000.76 and 1,602.06

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Solution

The fourth proportional to 3,333.84, 5,000.76 and 1,602.06 is: 2,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.84 : 5,000.76 = 1,602.06 : x
  2. Step 2: Convert to fraction form
    3,333.84/5,000.76 = 1,602.06/x
  3. Step 3: Cross multiply
    3,333.84x = 5,000.76 × 1,602.06
  4. Step 4: Simplify right side
    3,333.84x = 8,011,517.57
  5. Step 5: Solve for x
    x = 8,011,517.57/3,333.84
  6. Step 6: Final answer
    x = 2,403.09

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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.