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Finding the Fourth Proportional to 4,807.20, 7,210.24 and 2,034.32

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Solution

The fourth proportional to 4,807.20, 7,210.24 and 2,034.32 is: 3,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.20 : 7,210.24 = 2,034.32 : x
  2. Step 2: Convert to fraction form
    4,807.20/7,210.24 = 2,034.32/x
  3. Step 3: Cross multiply
    4,807.20x = 7,210.24 × 2,034.32
  4. Step 4: Simplify right side
    4,807.20x = 14,667,935.44
  5. Step 5: Solve for x
    x = 14,667,935.44/4,807.20
  6. Step 6: Final answer
    x = 3,051.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.