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Finding the Fourth Proportional to 3,637.90, 5,459.01 and 1,446.04

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Solution

The fourth proportional to 3,637.90, 5,459.01 and 1,446.04 is: 2,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.90 : 5,459.01 = 1,446.04 : x
  2. Step 2: Convert to fraction form
    3,637.90/5,459.01 = 1,446.04/x
  3. Step 3: Cross multiply
    3,637.90x = 5,459.01 × 1,446.04
  4. Step 4: Simplify right side
    3,637.90x = 7,893,946.82
  5. Step 5: Solve for x
    x = 7,893,946.82/3,637.90
  6. Step 6: Final answer
    x = 2,169.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.