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Finding the Fourth Proportional to 3,854.19, 5,783.40 and 2,099.10

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Solution

The fourth proportional to 3,854.19, 5,783.40 and 2,099.10 is: 3,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.19 : 5,783.40 = 2,099.10 : x
  2. Step 2: Convert to fraction form
    3,854.19/5,783.40 = 2,099.10/x
  3. Step 3: Cross multiply
    3,854.19x = 5,783.40 × 2,099.10
  4. Step 4: Simplify right side
    3,854.19x = 12,139,934.94
  5. Step 5: Solve for x
    x = 12,139,934.94/3,854.19
  6. Step 6: Final answer
    x = 3,149.80

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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.