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Finding the Fourth Proportional to 5,637.68, 7,779.24 and 3,278

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Solution

The fourth proportional to 5,637.68, 7,779.24 and 3,278 is: 4,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.68 : 7,779.24 = 3,278 : x
  2. Step 2: Convert to fraction form
    5,637.68/7,779.24 = 3,278/x
  3. Step 3: Cross multiply
    5,637.68x = 7,779.24 × 3,278
  4. Step 4: Simplify right side
    5,637.68x = 25,500,348.72
  5. Step 5: Solve for x
    x = 25,500,348.72/5,637.68
  6. Step 6: Final answer
    x = 4,523.20

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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.