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Finding the Fourth Proportional to 3,703.74, 5,111.10 and 2,025.16

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Solution

The fourth proportional to 3,703.74, 5,111.10 and 2,025.16 is: 2,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.74 : 5,111.10 = 2,025.16 : x
  2. Step 2: Convert to fraction form
    3,703.74/5,111.10 = 2,025.16/x
  3. Step 3: Cross multiply
    3,703.74x = 5,111.10 × 2,025.16
  4. Step 4: Simplify right side
    3,703.74x = 10,350,795.28
  5. Step 5: Solve for x
    x = 10,350,795.28/3,703.74
  6. Step 6: Final answer
    x = 2,794.69

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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.