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Finding the Fourth Proportional to 4,863.12, 7,294.41 and 4,321.50

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Solution

The fourth proportional to 4,863.12, 7,294.41 and 4,321.50 is: 6,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.12 : 7,294.41 = 4,321.50 : x
  2. Step 2: Convert to fraction form
    4,863.12/7,294.41 = 4,321.50/x
  3. Step 3: Cross multiply
    4,863.12x = 7,294.41 × 4,321.50
  4. Step 4: Simplify right side
    4,863.12x = 31,522,792.82
  5. Step 5: Solve for x
    x = 31,522,792.82/4,863.12
  6. Step 6: Final answer
    x = 6,482.01

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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.