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Finding the Fourth Proportional to 3,092.02, 4,655.96 and 2,276.00

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Solution

The fourth proportional to 3,092.02, 4,655.96 and 2,276.00 is: 3,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.02 : 4,655.96 = 2,276.00 : x
  2. Step 2: Convert to fraction form
    3,092.02/4,655.96 = 2,276.00/x
  3. Step 3: Cross multiply
    3,092.02x = 4,655.96 × 2,276.00
  4. Step 4: Simplify right side
    3,092.02x = 10,596,949.89
  5. Step 5: Solve for x
    x = 10,596,949.89/3,092.02
  6. Step 6: Final answer
    x = 3,427.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.