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Finding the Fourth Proportional to 3,459.62, 4,774.74 and 2,200.80

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Solution

The fourth proportional to 3,459.62, 4,774.74 and 2,200.80 is: 3,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.62 : 4,774.74 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    3,459.62/4,774.74 = 2,200.80/x
  3. Step 3: Cross multiply
    3,459.62x = 4,774.74 × 2,200.80
  4. Step 4: Simplify right side
    3,459.62x = 10,508,247.79
  5. Step 5: Solve for x
    x = 10,508,247.79/3,459.62
  6. Step 6: Final answer
    x = 3,037.40

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