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Finding the Fourth Proportional to 3,670.83, 5,506.25 and 1,073.77

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Solution

The fourth proportional to 3,670.83, 5,506.25 and 1,073.77 is: 1,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.83 : 5,506.25 = 1,073.77 : x
  2. Step 2: Convert to fraction form
    3,670.83/5,506.25 = 1,073.77/x
  3. Step 3: Cross multiply
    3,670.83x = 5,506.25 × 1,073.77
  4. Step 4: Simplify right side
    3,670.83x = 5,912,426.93
  5. Step 5: Solve for x
    x = 5,912,426.93/3,670.83
  6. Step 6: Final answer
    x = 1,610.65

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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.