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Finding the Fourth Proportional to 5,454, 7,525.92 and 3,096.16

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Solution

The fourth proportional to 5,454, 7,525.92 and 3,096.16 is: 4,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454 : 7,525.92 = 3,096.16 : x
  2. Step 2: Convert to fraction form
    5,454/7,525.92 = 3,096.16/x
  3. Step 3: Cross multiply
    5,454x = 7,525.92 × 3,096.16
  4. Step 4: Simplify right side
    5,454x = 23,301,452.47
  5. Step 5: Solve for x
    x = 23,301,452.47/5,454
  6. Step 6: Final answer
    x = 4,272.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.