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Finding the Fourth Proportional to 5,952.72, 8,214.32 and 3,263.51

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Solution

The fourth proportional to 5,952.72, 8,214.32 and 3,263.51 is: 4,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.72 : 8,214.32 = 3,263.51 : x
  2. Step 2: Convert to fraction form
    5,952.72/8,214.32 = 3,263.51/x
  3. Step 3: Cross multiply
    5,952.72x = 8,214.32 × 3,263.51
  4. Step 4: Simplify right side
    5,952.72x = 26,807,497.95
  5. Step 5: Solve for x
    x = 26,807,497.95/5,952.72
  6. Step 6: Final answer
    x = 4,503.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.