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Finding the Fourth Proportional to 6,446.06, 8,897.24 and 3,929.80

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Solution

The fourth proportional to 6,446.06, 8,897.24 and 3,929.80 is: 5,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.06 : 8,897.24 = 3,929.80 : x
  2. Step 2: Convert to fraction form
    6,446.06/8,897.24 = 3,929.80/x
  3. Step 3: Cross multiply
    6,446.06x = 8,897.24 × 3,929.80
  4. Step 4: Simplify right side
    6,446.06x = 34,964,373.75
  5. Step 5: Solve for x
    x = 34,964,373.75/6,446.06
  6. Step 6: Final answer
    x = 5,424.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.