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Finding the Fourth Proportional to 4,224.96, 6,333.18 and 2,032.50

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Solution

The fourth proportional to 4,224.96, 6,333.18 and 2,032.50 is: 3,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.96 : 6,333.18 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    4,224.96/6,333.18 = 2,032.50/x
  3. Step 3: Cross multiply
    4,224.96x = 6,333.18 × 2,032.50
  4. Step 4: Simplify right side
    4,224.96x = 12,872,188.35
  5. Step 5: Solve for x
    x = 12,872,188.35/4,224.96
  6. Step 6: Final answer
    x = 3,046.70

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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.