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Finding the Fourth Proportional to 5,364.18, 8,046 and 1,468.59

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Solution

The fourth proportional to 5,364.18, 8,046 and 1,468.59 is: 2,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.18 : 8,046 = 1,468.59 : x
  2. Step 2: Convert to fraction form
    5,364.18/8,046 = 1,468.59/x
  3. Step 3: Cross multiply
    5,364.18x = 8,046 × 1,468.59
  4. Step 4: Simplify right side
    5,364.18x = 11,816,275.14
  5. Step 5: Solve for x
    x = 11,816,275.14/5,364.18
  6. Step 6: Final answer
    x = 2,202.81

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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.