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Finding the Fourth Proportional to 5,974.54, 8,962.32 and 1,592

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Solution

The fourth proportional to 5,974.54, 8,962.32 and 1,592 is: 2,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.54 : 8,962.32 = 1,592 : x
  2. Step 2: Convert to fraction form
    5,974.54/8,962.32 = 1,592/x
  3. Step 3: Cross multiply
    5,974.54x = 8,962.32 × 1,592
  4. Step 4: Simplify right side
    5,974.54x = 14,268,013.44
  5. Step 5: Solve for x
    x = 14,268,013.44/5,974.54
  6. Step 6: Final answer
    x = 2,388.14

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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.