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Finding the Fourth Proportional to 5,132.16, 7,698.24 and 2,052

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Solution

The fourth proportional to 5,132.16, 7,698.24 and 2,052 is: 3,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.16 : 7,698.24 = 2,052 : x
  2. Step 2: Convert to fraction form
    5,132.16/7,698.24 = 2,052/x
  3. Step 3: Cross multiply
    5,132.16x = 7,698.24 × 2,052
  4. Step 4: Simplify right side
    5,132.16x = 15,796,788.48
  5. Step 5: Solve for x
    x = 15,796,788.48/5,132.16
  6. Step 6: Final answer
    x = 3,078

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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.