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Finding the Fourth Proportional to 5,952.98, 8,214.66 and 3,263.77

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Solution

The fourth proportional to 5,952.98, 8,214.66 and 3,263.77 is: 4,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.98 : 8,214.66 = 3,263.77 : x
  2. Step 2: Convert to fraction form
    5,952.98/8,214.66 = 3,263.77/x
  3. Step 3: Cross multiply
    5,952.98x = 8,214.66 × 3,263.77
  4. Step 4: Simplify right side
    5,952.98x = 26,810,724.93
  5. Step 5: Solve for x
    x = 26,810,724.93/5,952.98
  6. Step 6: Final answer
    x = 4,503.75

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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.