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Finding the Fourth Proportional to 3,437.74, 4,745.02 and 3,204.00

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Solution

The fourth proportional to 3,437.74, 4,745.02 and 3,204.00 is: 4,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.74 : 4,745.02 = 3,204.00 : x
  2. Step 2: Convert to fraction form
    3,437.74/4,745.02 = 3,204.00/x
  3. Step 3: Cross multiply
    3,437.74x = 4,745.02 × 3,204.00
  4. Step 4: Simplify right side
    3,437.74x = 15,203,042.00
  5. Step 5: Solve for x
    x = 15,203,042.00/3,437.74
  6. Step 6: Final answer
    x = 4,422.40

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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.