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Finding the Fourth Proportional to 3,854.44, 5,779.50 and 2,466.91

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Solution

The fourth proportional to 3,854.44, 5,779.50 and 2,466.91 is: 3,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.44 : 5,779.50 = 2,466.91 : x
  2. Step 2: Convert to fraction form
    3,854.44/5,779.50 = 2,466.91/x
  3. Step 3: Cross multiply
    3,854.44x = 5,779.50 × 2,466.91
  4. Step 4: Simplify right side
    3,854.44x = 14,257,506.35
  5. Step 5: Solve for x
    x = 14,257,506.35/3,854.44
  6. Step 6: Final answer
    x = 3,698.98

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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.