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Finding the Fourth Proportional to 3,536.20, 4,880.06 and 1,964.40

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Solution

The fourth proportional to 3,536.20, 4,880.06 and 1,964.40 is: 2,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.20 : 4,880.06 = 1,964.40 : x
  2. Step 2: Convert to fraction form
    3,536.20/4,880.06 = 1,964.40/x
  3. Step 3: Cross multiply
    3,536.20x = 4,880.06 × 1,964.40
  4. Step 4: Simplify right side
    3,536.20x = 9,586,389.86
  5. Step 5: Solve for x
    x = 9,586,389.86/3,536.20
  6. Step 6: Final answer
    x = 2,710.93

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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.