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Finding the Fourth Proportional to 5,296.20, 7,920.54 and 4,714.68

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Solution

The fourth proportional to 5,296.20, 7,920.54 and 4,714.68 is: 7,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.20 : 7,920.54 = 4,714.68 : x
  2. Step 2: Convert to fraction form
    5,296.20/7,920.54 = 4,714.68/x
  3. Step 3: Cross multiply
    5,296.20x = 7,920.54 × 4,714.68
  4. Step 4: Simplify right side
    5,296.20x = 37,342,811.53
  5. Step 5: Solve for x
    x = 37,342,811.53/5,296.20
  6. Step 6: Final answer
    x = 7,050.87

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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.