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Finding the Fourth Proportional to 5,281.28, 7,917.05 and 2,509.26

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Solution

The fourth proportional to 5,281.28, 7,917.05 and 2,509.26 is: 3,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.28 : 7,917.05 = 2,509.26 : x
  2. Step 2: Convert to fraction form
    5,281.28/7,917.05 = 2,509.26/x
  3. Step 3: Cross multiply
    5,281.28x = 7,917.05 × 2,509.26
  4. Step 4: Simplify right side
    5,281.28x = 19,865,924.34
  5. Step 5: Solve for x
    x = 19,865,924.34/5,281.28
  6. Step 6: Final answer
    x = 3,761.58

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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.