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Finding the Fourth Proportional to 3,580.85, 4,943.32 and 3,206.32

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Solution

The fourth proportional to 3,580.85, 4,943.32 and 3,206.32 is: 4,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.85 : 4,943.32 = 3,206.32 : x
  2. Step 2: Convert to fraction form
    3,580.85/4,943.32 = 3,206.32/x
  3. Step 3: Cross multiply
    3,580.85x = 4,943.32 × 3,206.32
  4. Step 4: Simplify right side
    3,580.85x = 15,849,865.78
  5. Step 5: Solve for x
    x = 15,849,865.78/3,580.85
  6. Step 6: Final answer
    x = 4,426.29

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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.