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Finding the Fourth Proportional to 3,873.02, 5,345.60 and 2,302.02

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Solution

The fourth proportional to 3,873.02, 5,345.60 and 2,302.02 is: 3,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.02 : 5,345.60 = 2,302.02 : x
  2. Step 2: Convert to fraction form
    3,873.02/5,345.60 = 2,302.02/x
  3. Step 3: Cross multiply
    3,873.02x = 5,345.60 × 2,302.02
  4. Step 4: Simplify right side
    3,873.02x = 12,305,666.60
  5. Step 5: Solve for x
    x = 12,305,666.60/3,873.02
  6. Step 6: Final answer
    x = 3,177.28

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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.