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Finding the Fourth Proportional to 5,621.76, 7,758.04 and 3,137.76

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Solution

The fourth proportional to 5,621.76, 7,758.04 and 3,137.76 is: 4,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.76 : 7,758.04 = 3,137.76 : x
  2. Step 2: Convert to fraction form
    5,621.76/7,758.04 = 3,137.76/x
  3. Step 3: Cross multiply
    5,621.76x = 7,758.04 × 3,137.76
  4. Step 4: Simplify right side
    5,621.76x = 24,342,867.59
  5. Step 5: Solve for x
    x = 24,342,867.59/5,621.76
  6. Step 6: Final answer
    x = 4,330.12

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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.