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Finding the Fourth Proportional to 5,365.02, 8,029.53 and 5,160.54

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Solution

The fourth proportional to 5,365.02, 8,029.53 and 5,160.54 is: 7,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.02 : 8,029.53 = 5,160.54 : x
  2. Step 2: Convert to fraction form
    5,365.02/8,029.53 = 5,160.54/x
  3. Step 3: Cross multiply
    5,365.02x = 8,029.53 × 5,160.54
  4. Step 4: Simplify right side
    5,365.02x = 41,436,710.75
  5. Step 5: Solve for x
    x = 41,436,710.75/5,365.02
  6. Step 6: Final answer
    x = 7,723.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.