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Finding the Fourth Proportional to 5,637.24, 7,779.56 and 3,119.67

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Solution

The fourth proportional to 5,637.24, 7,779.56 and 3,119.67 is: 4,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.24 : 7,779.56 = 3,119.67 : x
  2. Step 2: Convert to fraction form
    5,637.24/7,779.56 = 3,119.67/x
  3. Step 3: Cross multiply
    5,637.24x = 7,779.56 × 3,119.67
  4. Step 4: Simplify right side
    5,637.24x = 24,269,644.35
  5. Step 5: Solve for x
    x = 24,269,644.35/5,637.24
  6. Step 6: Final answer
    x = 4,305.24

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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.