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Finding the Fourth Proportional to 4,312.36, 6,464.74 and 2,848.44

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Solution

The fourth proportional to 4,312.36, 6,464.74 and 2,848.44 is: 4,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.36 : 6,464.74 = 2,848.44 : x
  2. Step 2: Convert to fraction form
    4,312.36/6,464.74 = 2,848.44/x
  3. Step 3: Cross multiply
    4,312.36x = 6,464.74 × 2,848.44
  4. Step 4: Simplify right side
    4,312.36x = 18,414,424.01
  5. Step 5: Solve for x
    x = 18,414,424.01/4,312.36
  6. Step 6: Final answer
    x = 4,270.15

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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.