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Finding the Fourth Proportional to 3,917.50, 5,875.93 and 1,575.85

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Solution

The fourth proportional to 3,917.50, 5,875.93 and 1,575.85 is: 2,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.50 : 5,875.93 = 1,575.85 : x
  2. Step 2: Convert to fraction form
    3,917.50/5,875.93 = 1,575.85/x
  3. Step 3: Cross multiply
    3,917.50x = 5,875.93 × 1,575.85
  4. Step 4: Simplify right side
    3,917.50x = 9,259,565.66
  5. Step 5: Solve for x
    x = 9,259,565.66/3,917.50
  6. Step 6: Final answer
    x = 2,363.64

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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.