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Finding the Fourth Proportional to 4,633.61, 6,394.28 and 2,643.84

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Solution

The fourth proportional to 4,633.61, 6,394.28 and 2,643.84 is: 3,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.61 : 6,394.28 = 2,643.84 : x
  2. Step 2: Convert to fraction form
    4,633.61/6,394.28 = 2,643.84/x
  3. Step 3: Cross multiply
    4,633.61x = 6,394.28 × 2,643.84
  4. Step 4: Simplify right side
    4,633.61x = 16,905,453.24
  5. Step 5: Solve for x
    x = 16,905,453.24/4,633.61
  6. Step 6: Final answer
    x = 3,648.45

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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.