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Finding the Fourth Proportional to 4,896.60, 7,346.12 and 2,296.50

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Solution

The fourth proportional to 4,896.60, 7,346.12 and 2,296.50 is: 3,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.60 : 7,346.12 = 2,296.50 : x
  2. Step 2: Convert to fraction form
    4,896.60/7,346.12 = 2,296.50/x
  3. Step 3: Cross multiply
    4,896.60x = 7,346.12 × 2,296.50
  4. Step 4: Simplify right side
    4,896.60x = 16,870,353.10
  5. Step 5: Solve for x
    x = 16,870,353.10/4,896.60
  6. Step 6: Final answer
    x = 3,445.32

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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.