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Finding the Fourth Proportional to 5,410.08, 7,454.76 and 4,151.08

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Solution

The fourth proportional to 5,410.08, 7,454.76 and 4,151.08 is: 5,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.08 : 7,454.76 = 4,151.08 : x
  2. Step 2: Convert to fraction form
    5,410.08/7,454.76 = 4,151.08/x
  3. Step 3: Cross multiply
    5,410.08x = 7,454.76 × 4,151.08
  4. Step 4: Simplify right side
    5,410.08x = 30,945,305.14
  5. Step 5: Solve for x
    x = 30,945,305.14/5,410.08
  6. Step 6: Final answer
    x = 5,719.93

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Double scale
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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.