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Finding the Fourth Proportional to 4,832.17, 6,681.82 and 3,835.72

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Solution

The fourth proportional to 4,832.17, 6,681.82 and 3,835.72 is: 5,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.17 : 6,681.82 = 3,835.72 : x
  2. Step 2: Convert to fraction form
    4,832.17/6,681.82 = 3,835.72/x
  3. Step 3: Cross multiply
    4,832.17x = 6,681.82 × 3,835.72
  4. Step 4: Simplify right side
    4,832.17x = 25,629,581.02
  5. Step 5: Solve for x
    x = 25,629,581.02/4,832.17
  6. Step 6: Final answer
    x = 5,303.95

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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.