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Finding the Fourth Proportional to 4,840.32, 7,248.96 and 2,784

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Solution

The fourth proportional to 4,840.32, 7,248.96 and 2,784 is: 4,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.32 : 7,248.96 = 2,784 : x
  2. Step 2: Convert to fraction form
    4,840.32/7,248.96 = 2,784/x
  3. Step 3: Cross multiply
    4,840.32x = 7,248.96 × 2,784
  4. Step 4: Simplify right side
    4,840.32x = 20,181,104.64
  5. Step 5: Solve for x
    x = 20,181,104.64/4,840.32
  6. Step 6: Final answer
    x = 4,169.37

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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.