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Finding the Fourth Proportional to 4,658.31, 6,428.52 and 2,533.84

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Solution

The fourth proportional to 4,658.31, 6,428.52 and 2,533.84 is: 3,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.31 : 6,428.52 = 2,533.84 : x
  2. Step 2: Convert to fraction form
    4,658.31/6,428.52 = 2,533.84/x
  3. Step 3: Cross multiply
    4,658.31x = 6,428.52 × 2,533.84
  4. Step 4: Simplify right side
    4,658.31x = 16,288,841.12
  5. Step 5: Solve for x
    x = 16,288,841.12/4,658.31
  6. Step 6: Final answer
    x = 3,496.73

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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.