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Finding the Fourth Proportional to 5,287.68, 7,977.69 and 5,273.10

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Solution

The fourth proportional to 5,287.68, 7,977.69 and 5,273.10 is: 7,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.68 : 7,977.69 = 5,273.10 : x
  2. Step 2: Convert to fraction form
    5,287.68/7,977.69 = 5,273.10/x
  3. Step 3: Cross multiply
    5,287.68x = 7,977.69 × 5,273.10
  4. Step 4: Simplify right side
    5,287.68x = 42,067,157.14
  5. Step 5: Solve for x
    x = 42,067,157.14/5,287.68
  6. Step 6: Final answer
    x = 7,955.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.