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Finding the Fourth Proportional to 4,566.92, 6,305.50 and 3,502.84

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Solution

The fourth proportional to 4,566.92, 6,305.50 and 3,502.84 is: 4,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.92 : 6,305.50 = 3,502.84 : x
  2. Step 2: Convert to fraction form
    4,566.92/6,305.50 = 3,502.84/x
  3. Step 3: Cross multiply
    4,566.92x = 6,305.50 × 3,502.84
  4. Step 4: Simplify right side
    4,566.92x = 22,087,157.62
  5. Step 5: Solve for x
    x = 22,087,157.62/4,566.92
  6. Step 6: Final answer
    x = 4,836.34

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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.