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Finding the Fourth Proportional to 3,498.14, 4,827.40 and 2,100.88

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Solution

The fourth proportional to 3,498.14, 4,827.40 and 2,100.88 is: 2,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.14 : 4,827.40 = 2,100.88 : x
  2. Step 2: Convert to fraction form
    3,498.14/4,827.40 = 2,100.88/x
  3. Step 3: Cross multiply
    3,498.14x = 4,827.40 × 2,100.88
  4. Step 4: Simplify right side
    3,498.14x = 10,141,788.11
  5. Step 5: Solve for x
    x = 10,141,788.11/3,498.14
  6. Step 6: Final answer
    x = 2,899.19

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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.