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Finding the Fourth Proportional to 3,779.83, 5,669.79 and 1,314.73

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Solution

The fourth proportional to 3,779.83, 5,669.79 and 1,314.73 is: 1,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.83 : 5,669.79 = 1,314.73 : x
  2. Step 2: Convert to fraction form
    3,779.83/5,669.79 = 1,314.73/x
  3. Step 3: Cross multiply
    3,779.83x = 5,669.79 × 1,314.73
  4. Step 4: Simplify right side
    3,779.83x = 7,454,245.16
  5. Step 5: Solve for x
    x = 7,454,245.16/3,779.83
  6. Step 6: Final answer
    x = 1,972.11

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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.