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Finding the Fourth Proportional to 3,293.66, 4,548.29 and 2,116.76

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Solution

The fourth proportional to 3,293.66, 4,548.29 and 2,116.76 is: 2,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.66 : 4,548.29 = 2,116.76 : x
  2. Step 2: Convert to fraction form
    3,293.66/4,548.29 = 2,116.76/x
  3. Step 3: Cross multiply
    3,293.66x = 4,548.29 × 2,116.76
  4. Step 4: Simplify right side
    3,293.66x = 9,627,605.02
  5. Step 5: Solve for x
    x = 9,627,605.02/3,293.66
  6. Step 6: Final answer
    x = 2,923.07

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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.