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Finding the Fourth Proportional to 3,497.54, 4,826.62 and 1,904.21

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Solution

The fourth proportional to 3,497.54, 4,826.62 and 1,904.21 is: 2,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.54 : 4,826.62 = 1,904.21 : x
  2. Step 2: Convert to fraction form
    3,497.54/4,826.62 = 1,904.21/x
  3. Step 3: Cross multiply
    3,497.54x = 4,826.62 × 1,904.21
  4. Step 4: Simplify right side
    3,497.54x = 9,190,864.42
  5. Step 5: Solve for x
    x = 9,190,864.42/3,497.54
  6. Step 6: Final answer
    x = 2,627.81

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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.