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Finding the Fourth Proportional to 3,779.83, 5,206.41 and 2,643.51

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Solution

The fourth proportional to 3,779.83, 5,206.41 and 2,643.51 is: 3,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.83 : 5,206.41 = 2,643.51 : x
  2. Step 2: Convert to fraction form
    3,779.83/5,206.41 = 2,643.51/x
  3. Step 3: Cross multiply
    3,779.83x = 5,206.41 × 2,643.51
  4. Step 4: Simplify right side
    3,779.83x = 13,763,196.90
  5. Step 5: Solve for x
    x = 13,763,196.90/3,779.83
  6. Step 6: Final answer
    x = 3,641.22

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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.