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Finding the Fourth Proportional to 5,364.16, 8,046.22 and 1,468.86

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Solution

The fourth proportional to 5,364.16, 8,046.22 and 1,468.86 is: 2,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.16 : 8,046.22 = 1,468.86 : x
  2. Step 2: Convert to fraction form
    5,364.16/8,046.22 = 1,468.86/x
  3. Step 3: Cross multiply
    5,364.16x = 8,046.22 × 1,468.86
  4. Step 4: Simplify right side
    5,364.16x = 11,818,770.71
  5. Step 5: Solve for x
    x = 11,818,770.71/5,364.16
  6. Step 6: Final answer
    x = 2,203.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.