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Finding the Fourth Proportional to 5,828.64, 7,987.47 and 5,268.12

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Solution

The fourth proportional to 5,828.64, 7,987.47 and 5,268.12 is: 7,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.64 : 7,987.47 = 5,268.12 : x
  2. Step 2: Convert to fraction form
    5,828.64/7,987.47 = 5,268.12/x
  3. Step 3: Cross multiply
    5,828.64x = 7,987.47 × 5,268.12
  4. Step 4: Simplify right side
    5,828.64x = 42,078,975.31
  5. Step 5: Solve for x
    x = 42,078,975.31/5,828.64
  6. Step 6: Final answer
    x = 7,219.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.