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Finding the Fourth Proportional to 3,538.01, 4,871.30 and 3,209.96

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Solution

The fourth proportional to 3,538.01, 4,871.30 and 3,209.96 is: 4,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.01 : 4,871.30 = 3,209.96 : x
  2. Step 2: Convert to fraction form
    3,538.01/4,871.30 = 3,209.96/x
  3. Step 3: Cross multiply
    3,538.01x = 4,871.30 × 3,209.96
  4. Step 4: Simplify right side
    3,538.01x = 15,636,637.74
  5. Step 5: Solve for x
    x = 15,636,637.74/3,538.01
  6. Step 6: Final answer
    x = 4,419.62

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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.