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Finding the Fourth Proportional to 5,145.48, 7,108.02 and 4,096.20

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Solution

The fourth proportional to 5,145.48, 7,108.02 and 4,096.20 is: 5,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.48 : 7,108.02 = 4,096.20 : x
  2. Step 2: Convert to fraction form
    5,145.48/7,108.02 = 4,096.20/x
  3. Step 3: Cross multiply
    5,145.48x = 7,108.02 × 4,096.20
  4. Step 4: Simplify right side
    5,145.48x = 29,115,871.52
  5. Step 5: Solve for x
    x = 29,115,871.52/5,145.48
  6. Step 6: Final answer
    x = 5,658.53

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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.