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Finding the Fourth Proportional to 4,335.50, 5,983 and 2,472.50

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Solution

The fourth proportional to 4,335.50, 5,983 and 2,472.50 is: 3,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.50 : 5,983 = 2,472.50 : x
  2. Step 2: Convert to fraction form
    4,335.50/5,983 = 2,472.50/x
  3. Step 3: Cross multiply
    4,335.50x = 5,983 × 2,472.50
  4. Step 4: Simplify right side
    4,335.50x = 14,792,967.50
  5. Step 5: Solve for x
    x = 14,792,967.50/4,335.50
  6. Step 6: Final answer
    x = 3,412.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.