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Finding the Fourth Proportional to 4,296.72, 6,446.52 and 1,830.48

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Solution

The fourth proportional to 4,296.72, 6,446.52 and 1,830.48 is: 2,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.72 : 6,446.52 = 1,830.48 : x
  2. Step 2: Convert to fraction form
    4,296.72/6,446.52 = 1,830.48/x
  3. Step 3: Cross multiply
    4,296.72x = 6,446.52 × 1,830.48
  4. Step 4: Simplify right side
    4,296.72x = 11,800,225.93
  5. Step 5: Solve for x
    x = 11,800,225.93/4,296.72
  6. Step 6: Final answer
    x = 2,746.33

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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.