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Finding the Fourth Proportional to 3,709.12, 5,565.84 and 1,370.77

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Solution

The fourth proportional to 3,709.12, 5,565.84 and 1,370.77 is: 2,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.12 : 5,565.84 = 1,370.77 : x
  2. Step 2: Convert to fraction form
    3,709.12/5,565.84 = 1,370.77/x
  3. Step 3: Cross multiply
    3,709.12x = 5,565.84 × 1,370.77
  4. Step 4: Simplify right side
    3,709.12x = 7,629,486.50
  5. Step 5: Solve for x
    x = 7,629,486.50/3,709.12
  6. Step 6: Final answer
    x = 2,056.95

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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.