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Finding the Fourth Proportional to 3,637.60, 5,455.80 and 1,446.18

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Solution

The fourth proportional to 3,637.60, 5,455.80 and 1,446.18 is: 2,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.60 : 5,455.80 = 1,446.18 : x
  2. Step 2: Convert to fraction form
    3,637.60/5,455.80 = 1,446.18/x
  3. Step 3: Cross multiply
    3,637.60x = 5,455.80 × 1,446.18
  4. Step 4: Simplify right side
    3,637.60x = 7,890,068.84
  5. Step 5: Solve for x
    x = 7,890,068.84/3,637.60
  6. Step 6: Final answer
    x = 2,169.03

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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.