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Finding the Fourth Proportional to 3,854.84, 5,779.83 and 2,124.68

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Solution

The fourth proportional to 3,854.84, 5,779.83 and 2,124.68 is: 3,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.84 : 5,779.83 = 2,124.68 : x
  2. Step 2: Convert to fraction form
    3,854.84/5,779.83 = 2,124.68/x
  3. Step 3: Cross multiply
    3,854.84x = 5,779.83 × 2,124.68
  4. Step 4: Simplify right side
    3,854.84x = 12,280,289.20
  5. Step 5: Solve for x
    x = 12,280,289.20/3,854.84
  6. Step 6: Final answer
    x = 3,185.68

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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.