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Finding the Fourth Proportional to 6,499, 8,968.62 and 3,705.04

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Solution

The fourth proportional to 6,499, 8,968.62 and 3,705.04 is: 5,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499 : 8,968.62 = 3,705.04 : x
  2. Step 2: Convert to fraction form
    6,499/8,968.62 = 3,705.04/x
  3. Step 3: Cross multiply
    6,499x = 8,968.62 × 3,705.04
  4. Step 4: Simplify right side
    6,499x = 33,229,095.84
  5. Step 5: Solve for x
    x = 33,229,095.84/6,499
  6. Step 6: Final answer
    x = 5,112.96

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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.