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Finding the Fourth Proportional to 5,412.75, 8,077.24 and 4,829.55

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Solution

The fourth proportional to 5,412.75, 8,077.24 and 4,829.55 is: 7,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.75 : 8,077.24 = 4,829.55 : x
  2. Step 2: Convert to fraction form
    5,412.75/8,077.24 = 4,829.55/x
  3. Step 3: Cross multiply
    5,412.75x = 8,077.24 × 4,829.55
  4. Step 4: Simplify right side
    5,412.75x = 39,009,434.44
  5. Step 5: Solve for x
    x = 39,009,434.44/5,412.75
  6. Step 6: Final answer
    x = 7,206.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.