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Finding the Fourth Proportional to 3,854.40, 5,784.12 and 2,124.24

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Solution

The fourth proportional to 3,854.40, 5,784.12 and 2,124.24 is: 3,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.40 : 5,784.12 = 2,124.24 : x
  2. Step 2: Convert to fraction form
    3,854.40/5,784.12 = 2,124.24/x
  3. Step 3: Cross multiply
    3,854.40x = 5,784.12 × 2,124.24
  4. Step 4: Simplify right side
    3,854.40x = 12,286,859.07
  5. Step 5: Solve for x
    x = 12,286,859.07/3,854.40
  6. Step 6: Final answer
    x = 3,187.75

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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.