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Finding the Fourth Proportional to 5,523.76, 7,622.88 and 3,005.92

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Solution

The fourth proportional to 5,523.76, 7,622.88 and 3,005.92 is: 4,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.76 : 7,622.88 = 3,005.92 : x
  2. Step 2: Convert to fraction form
    5,523.76/7,622.88 = 3,005.92/x
  3. Step 3: Cross multiply
    5,523.76x = 7,622.88 × 3,005.92
  4. Step 4: Simplify right side
    5,523.76x = 22,913,767.45
  5. Step 5: Solve for x
    x = 22,913,767.45/5,523.76
  6. Step 6: Final answer
    x = 4,148.22

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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.