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Finding the Fourth Proportional to 4,827.38, 7,241.64 and 1,539.32

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Solution

The fourth proportional to 4,827.38, 7,241.64 and 1,539.32 is: 2,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.38 : 7,241.64 = 1,539.32 : x
  2. Step 2: Convert to fraction form
    4,827.38/7,241.64 = 1,539.32/x
  3. Step 3: Cross multiply
    4,827.38x = 7,241.64 × 1,539.32
  4. Step 4: Simplify right side
    4,827.38x = 11,147,201.28
  5. Step 5: Solve for x
    x = 11,147,201.28/4,827.38
  6. Step 6: Final answer
    x = 2,309.16

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Why These Related Problems?

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