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Finding the Fourth Proportional to 5,144.90, 7,705.64 and 4,027.36

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Solution

The fourth proportional to 5,144.90, 7,705.64 and 4,027.36 is: 6,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.90 : 7,705.64 = 4,027.36 : x
  2. Step 2: Convert to fraction form
    5,144.90/7,705.64 = 4,027.36/x
  3. Step 3: Cross multiply
    5,144.90x = 7,705.64 × 4,027.36
  4. Step 4: Simplify right side
    5,144.90x = 31,033,386.31
  5. Step 5: Solve for x
    x = 31,033,386.31/5,144.90
  6. Step 6: Final answer
    x = 6,031.87

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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.