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Finding the Fourth Proportional to 3,536.48, 4,880.71 and 1,964.57

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Solution

The fourth proportional to 3,536.48, 4,880.71 and 1,964.57 is: 2,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.48 : 4,880.71 = 1,964.57 : x
  2. Step 2: Convert to fraction form
    3,536.48/4,880.71 = 1,964.57/x
  3. Step 3: Cross multiply
    3,536.48x = 4,880.71 × 1,964.57
  4. Step 4: Simplify right side
    3,536.48x = 9,588,511.10
  5. Step 5: Solve for x
    x = 9,588,511.10/3,536.48
  6. Step 6: Final answer
    x = 2,711.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.