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Finding the Fourth Proportional to 3,461.86, 4,779.84 and 2,137.36

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Solution

The fourth proportional to 3,461.86, 4,779.84 and 2,137.36 is: 2,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.86 : 4,779.84 = 2,137.36 : x
  2. Step 2: Convert to fraction form
    3,461.86/4,779.84 = 2,137.36/x
  3. Step 3: Cross multiply
    3,461.86x = 4,779.84 × 2,137.36
  4. Step 4: Simplify right side
    3,461.86x = 10,216,238.82
  5. Step 5: Solve for x
    x = 10,216,238.82/3,461.86
  6. Step 6: Final answer
    x = 2,951.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.