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Finding the Fourth Proportional to 5,420.96, 8,132.52 and 1,525.52

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Solution

The fourth proportional to 5,420.96, 8,132.52 and 1,525.52 is: 2,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.96 : 8,132.52 = 1,525.52 : x
  2. Step 2: Convert to fraction form
    5,420.96/8,132.52 = 1,525.52/x
  3. Step 3: Cross multiply
    5,420.96x = 8,132.52 × 1,525.52
  4. Step 4: Simplify right side
    5,420.96x = 12,406,321.91
  5. Step 5: Solve for x
    x = 12,406,321.91/5,420.96
  6. Step 6: Final answer
    x = 2,288.58

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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.