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Finding the Fourth Proportional to 5,640.49, 8,461.86 and 1,744.75

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Solution

The fourth proportional to 5,640.49, 8,461.86 and 1,744.75 is: 2,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.49 : 8,461.86 = 1,744.75 : x
  2. Step 2: Convert to fraction form
    5,640.49/8,461.86 = 1,744.75/x
  3. Step 3: Cross multiply
    5,640.49x = 8,461.86 × 1,744.75
  4. Step 4: Simplify right side
    5,640.49x = 14,763,830.24
  5. Step 5: Solve for x
    x = 14,763,830.24/5,640.49
  6. Step 6: Final answer
    x = 2,617.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.