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Finding the Fourth Proportional to 3,673.73, 5,054.73 and 3,174.77

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Solution

The fourth proportional to 3,673.73, 5,054.73 and 3,174.77 is: 4,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.73 : 5,054.73 = 3,174.77 : x
  2. Step 2: Convert to fraction form
    3,673.73/5,054.73 = 3,174.77/x
  3. Step 3: Cross multiply
    3,673.73x = 5,054.73 × 3,174.77
  4. Step 4: Simplify right side
    3,673.73x = 16,047,605.16
  5. Step 5: Solve for x
    x = 16,047,605.16/3,673.73
  6. Step 6: Final answer
    x = 4,368.20

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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.