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Finding the Fourth Proportional to 5,288.58, 7,283.43 and 5,173.78

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Solution

The fourth proportional to 5,288.58, 7,283.43 and 5,173.78 is: 7,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.58 : 7,283.43 = 5,173.78 : x
  2. Step 2: Convert to fraction form
    5,288.58/7,283.43 = 5,173.78/x
  3. Step 3: Cross multiply
    5,288.58x = 7,283.43 × 5,173.78
  4. Step 4: Simplify right side
    5,288.58x = 37,682,864.47
  5. Step 5: Solve for x
    x = 37,682,864.47/5,288.58
  6. Step 6: Final answer
    x = 7,125.33

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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.