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Finding the Fourth Proportional to 3,034.64, 4,184.10 and 2,473.52

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Solution

The fourth proportional to 3,034.64, 4,184.10 and 2,473.52 is: 3,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.64 : 4,184.10 = 2,473.52 : x
  2. Step 2: Convert to fraction form
    3,034.64/4,184.10 = 2,473.52/x
  3. Step 3: Cross multiply
    3,034.64x = 4,184.10 × 2,473.52
  4. Step 4: Simplify right side
    3,034.64x = 10,349,455.03
  5. Step 5: Solve for x
    x = 10,349,455.03/3,034.64
  6. Step 6: Final answer
    x = 3,410.44

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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.