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Finding the Fourth Proportional to 3,859.15, 5,783.53 and 2,101.52

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Solution

The fourth proportional to 3,859.15, 5,783.53 and 2,101.52 is: 3,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.15 : 5,783.53 = 2,101.52 : x
  2. Step 2: Convert to fraction form
    3,859.15/5,783.53 = 2,101.52/x
  3. Step 3: Cross multiply
    3,859.15x = 5,783.53 × 2,101.52
  4. Step 4: Simplify right side
    3,859.15x = 12,154,217.11
  5. Step 5: Solve for x
    x = 12,154,217.11/3,859.15
  6. Step 6: Final answer
    x = 3,149.45

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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.