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Finding the Fourth Proportional to 6,507.47, 8,980.25 and 3,856.14

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Solution

The fourth proportional to 6,507.47, 8,980.25 and 3,856.14 is: 5,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.47 : 8,980.25 = 3,856.14 : x
  2. Step 2: Convert to fraction form
    6,507.47/8,980.25 = 3,856.14/x
  3. Step 3: Cross multiply
    6,507.47x = 8,980.25 × 3,856.14
  4. Step 4: Simplify right side
    6,507.47x = 34,629,101.24
  5. Step 5: Solve for x
    x = 34,629,101.24/6,507.47
  6. Step 6: Final answer
    x = 5,321.44

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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.