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Finding the Fourth Proportional to 4,294.64, 6,441.65 and 1,333.01

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Solution

The fourth proportional to 4,294.64, 6,441.65 and 1,333.01 is: 1,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.64 : 6,441.65 = 1,333.01 : x
  2. Step 2: Convert to fraction form
    4,294.64/6,441.65 = 1,333.01/x
  3. Step 3: Cross multiply
    4,294.64x = 6,441.65 × 1,333.01
  4. Step 4: Simplify right side
    4,294.64x = 8,586,769.57
  5. Step 5: Solve for x
    x = 8,586,769.57/4,294.64
  6. Step 6: Final answer
    x = 1,999.41

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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.