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Finding the Fourth Proportional to 4,646.48, 6,963.64 and 3,992.84

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Solution

The fourth proportional to 4,646.48, 6,963.64 and 3,992.84 is: 5,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.48 : 6,963.64 = 3,992.84 : x
  2. Step 2: Convert to fraction form
    4,646.48/6,963.64 = 3,992.84/x
  3. Step 3: Cross multiply
    4,646.48x = 6,963.64 × 3,992.84
  4. Step 4: Simplify right side
    4,646.48x = 27,804,700.34
  5. Step 5: Solve for x
    x = 27,804,700.34/4,646.48
  6. Step 6: Final answer
    x = 5,984.04

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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.