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Finding the Fourth Proportional to 3,581.71, 4,943.16 and 3,466.89

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Solution

The fourth proportional to 3,581.71, 4,943.16 and 3,466.89 is: 4,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.71 : 4,943.16 = 3,466.89 : x
  2. Step 2: Convert to fraction form
    3,581.71/4,943.16 = 3,466.89/x
  3. Step 3: Cross multiply
    3,581.71x = 4,943.16 × 3,466.89
  4. Step 4: Simplify right side
    3,581.71x = 17,137,391.97
  5. Step 5: Solve for x
    x = 17,137,391.97/3,581.71
  6. Step 6: Final answer
    x = 4,784.70

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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.