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Finding the Fourth Proportional to 6,359.37, 9,541.31 and 2,849.10

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Solution

The fourth proportional to 6,359.37, 9,541.31 and 2,849.10 is: 4,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.37 : 9,541.31 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    6,359.37/9,541.31 = 2,849.10/x
  3. Step 3: Cross multiply
    6,359.37x = 9,541.31 × 2,849.10
  4. Step 4: Simplify right side
    6,359.37x = 27,184,146.32
  5. Step 5: Solve for x
    x = 27,184,146.32/6,359.37
  6. Step 6: Final answer
    x = 4,274.66

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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.