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Finding the Fourth Proportional to 3,333.92, 5,000.58 and 1,253.84

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Solution

The fourth proportional to 3,333.92, 5,000.58 and 1,253.84 is: 1,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.92 : 5,000.58 = 1,253.84 : x
  2. Step 2: Convert to fraction form
    3,333.92/5,000.58 = 1,253.84/x
  3. Step 3: Cross multiply
    3,333.92x = 5,000.58 × 1,253.84
  4. Step 4: Simplify right side
    3,333.92x = 6,269,927.23
  5. Step 5: Solve for x
    x = 6,269,927.23/3,333.92
  6. Step 6: Final answer
    x = 1,880.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.