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Finding the Fourth Proportional to 5,388.32, 8,085.36 and 1,928

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Solution

The fourth proportional to 5,388.32, 8,085.36 and 1,928 is: 2,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.32 : 8,085.36 = 1,928 : x
  2. Step 2: Convert to fraction form
    5,388.32/8,085.36 = 1,928/x
  3. Step 3: Cross multiply
    5,388.32x = 8,085.36 × 1,928
  4. Step 4: Simplify right side
    5,388.32x = 15,588,574.08
  5. Step 5: Solve for x
    x = 15,588,574.08/5,388.32
  6. Step 6: Final answer
    x = 2,893.03

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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.