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Finding the Fourth Proportional to 3,981.57, 5,971.58 and 3,784.01

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Solution

The fourth proportional to 3,981.57, 5,971.58 and 3,784.01 is: 5,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.57 : 5,971.58 = 3,784.01 : x
  2. Step 2: Convert to fraction form
    3,981.57/5,971.58 = 3,784.01/x
  3. Step 3: Cross multiply
    3,981.57x = 5,971.58 × 3,784.01
  4. Step 4: Simplify right side
    3,981.57x = 22,596,488.58
  5. Step 5: Solve for x
    x = 22,596,488.58/3,981.57
  6. Step 6: Final answer
    x = 5,675.27

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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.