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Finding the Fourth Proportional to 5,238.61, 7,228.71 and 3,000.26

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Solution

The fourth proportional to 5,238.61, 7,228.71 and 3,000.26 is: 4,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.61 : 7,228.71 = 3,000.26 : x
  2. Step 2: Convert to fraction form
    5,238.61/7,228.71 = 3,000.26/x
  3. Step 3: Cross multiply
    5,238.61x = 7,228.71 × 3,000.26
  4. Step 4: Simplify right side
    5,238.61x = 21,688,027.54
  5. Step 5: Solve for x
    x = 21,688,027.54/5,238.61
  6. Step 6: Final answer
    x = 4,140.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.