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Finding the Fourth Proportional to 5,462.48, 7,533.96 and 3,784.52

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Solution

The fourth proportional to 5,462.48, 7,533.96 and 3,784.52 is: 5,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.48 : 7,533.96 = 3,784.52 : x
  2. Step 2: Convert to fraction form
    5,462.48/7,533.96 = 3,784.52/x
  3. Step 3: Cross multiply
    5,462.48x = 7,533.96 × 3,784.52
  4. Step 4: Simplify right side
    5,462.48x = 28,512,422.30
  5. Step 5: Solve for x
    x = 28,512,422.30/5,462.48
  6. Step 6: Final answer
    x = 5,219.68

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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.