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Finding the Fourth Proportional to 3,498.84, 4,829.40 and 2,101.68

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Solution

The fourth proportional to 3,498.84, 4,829.40 and 2,101.68 is: 2,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.84 : 4,829.40 = 2,101.68 : x
  2. Step 2: Convert to fraction form
    3,498.84/4,829.40 = 2,101.68/x
  3. Step 3: Cross multiply
    3,498.84x = 4,829.40 × 2,101.68
  4. Step 4: Simplify right side
    3,498.84x = 10,149,853.39
  5. Step 5: Solve for x
    x = 10,149,853.39/3,498.84
  6. Step 6: Final answer
    x = 2,900.92

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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.