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Finding the Fourth Proportional to 3,647.91, 5,472.35 and 1,673.07

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Solution

The fourth proportional to 3,647.91, 5,472.35 and 1,673.07 is: 2,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.91 : 5,472.35 = 1,673.07 : x
  2. Step 2: Convert to fraction form
    3,647.91/5,472.35 = 1,673.07/x
  3. Step 3: Cross multiply
    3,647.91x = 5,472.35 × 1,673.07
  4. Step 4: Simplify right side
    3,647.91x = 9,155,624.61
  5. Step 5: Solve for x
    x = 9,155,624.61/3,647.91
  6. Step 6: Final answer
    x = 2,509.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.