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Finding the Fourth Proportional to 5,293.25, 7,929.54 and 2,827.20

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Solution

The fourth proportional to 5,293.25, 7,929.54 and 2,827.20 is: 4,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.25 : 7,929.54 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    5,293.25/7,929.54 = 2,827.20/x
  3. Step 3: Cross multiply
    5,293.25x = 7,929.54 × 2,827.20
  4. Step 4: Simplify right side
    5,293.25x = 22,418,395.49
  5. Step 5: Solve for x
    x = 22,418,395.49/5,293.25
  6. Step 6: Final answer
    x = 4,235.28

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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.