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Finding the Fourth Proportional to 3,499.12, 4,828.80 and 2,101.88

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Solution

The fourth proportional to 3,499.12, 4,828.80 and 2,101.88 is: 2,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.12 : 4,828.80 = 2,101.88 : x
  2. Step 2: Convert to fraction form
    3,499.12/4,828.80 = 2,101.88/x
  3. Step 3: Cross multiply
    3,499.12x = 4,828.80 × 2,101.88
  4. Step 4: Simplify right side
    3,499.12x = 10,149,558.14
  5. Step 5: Solve for x
    x = 10,149,558.14/3,499.12
  6. Step 6: Final answer
    x = 2,900.60

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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.