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Finding the Fourth Proportional to 5,581.56, 7,702.65 and 3,223.80

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Solution

The fourth proportional to 5,581.56, 7,702.65 and 3,223.80 is: 4,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.56 : 7,702.65 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    5,581.56/7,702.65 = 3,223.80/x
  3. Step 3: Cross multiply
    5,581.56x = 7,702.65 × 3,223.80
  4. Step 4: Simplify right side
    5,581.56x = 24,831,803.07
  5. Step 5: Solve for x
    x = 24,831,803.07/5,581.56
  6. Step 6: Final answer
    x = 4,448.90

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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.