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Finding the Fourth Proportional to 5,105.86, 7,656.01 and 1,594.35

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Solution

The fourth proportional to 5,105.86, 7,656.01 and 1,594.35 is: 2,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.86 : 7,656.01 = 1,594.35 : x
  2. Step 2: Convert to fraction form
    5,105.86/7,656.01 = 1,594.35/x
  3. Step 3: Cross multiply
    5,105.86x = 7,656.01 × 1,594.35
  4. Step 4: Simplify right side
    5,105.86x = 12,206,355.56
  5. Step 5: Solve for x
    x = 12,206,355.56/5,105.86
  6. Step 6: Final answer
    x = 2,390.66

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