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Finding the Fourth Proportional to 4,686.30, 6,992.96 and 4,653.90

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Solution

The fourth proportional to 4,686.30, 6,992.96 and 4,653.90 is: 6,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.30 : 6,992.96 = 4,653.90 : x
  2. Step 2: Convert to fraction form
    4,686.30/6,992.96 = 4,653.90/x
  3. Step 3: Cross multiply
    4,686.30x = 6,992.96 × 4,653.90
  4. Step 4: Simplify right side
    4,686.30x = 32,544,513.27
  5. Step 5: Solve for x
    x = 32,544,513.27/4,686.30
  6. Step 6: Final answer
    x = 6,944.61

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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.