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Finding the Fourth Proportional to 4,832.64, 7,216.65 and 4,131.99

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Solution

The fourth proportional to 4,832.64, 7,216.65 and 4,131.99 is: 6,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.64 : 7,216.65 = 4,131.99 : x
  2. Step 2: Convert to fraction form
    4,832.64/7,216.65 = 4,131.99/x
  3. Step 3: Cross multiply
    4,832.64x = 7,216.65 × 4,131.99
  4. Step 4: Simplify right side
    4,832.64x = 29,819,125.63
  5. Step 5: Solve for x
    x = 29,819,125.63/4,832.64
  6. Step 6: Final answer
    x = 6,170.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.