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Finding the Fourth Proportional to 4,895.60, 7,344.62 and 2,295.50

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Solution

The fourth proportional to 4,895.60, 7,344.62 and 2,295.50 is: 3,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.60 : 7,344.62 = 2,295.50 : x
  2. Step 2: Convert to fraction form
    4,895.60/7,344.62 = 2,295.50/x
  3. Step 3: Cross multiply
    4,895.60x = 7,344.62 × 2,295.50
  4. Step 4: Simplify right side
    4,895.60x = 16,859,563.73
  5. Step 5: Solve for x
    x = 16,859,563.73/4,895.60
  6. Step 6: Final answer
    x = 3,443.82

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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.