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Finding the Fourth Proportional to 5,364, 8,044.76 and 1,468.72

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Solution

The fourth proportional to 5,364, 8,044.76 and 1,468.72 is: 2,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364 : 8,044.76 = 1,468.72 : x
  2. Step 2: Convert to fraction form
    5,364/8,044.76 = 1,468.72/x
  3. Step 3: Cross multiply
    5,364x = 8,044.76 × 1,468.72
  4. Step 4: Simplify right side
    5,364x = 11,815,499.91
  5. Step 5: Solve for x
    x = 11,815,499.91/5,364
  6. Step 6: Final answer
    x = 2,202.74

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