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Finding the Fourth Proportional to 6,446.98, 8,897.57 and 3,615.12

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Solution

The fourth proportional to 6,446.98, 8,897.57 and 3,615.12 is: 4,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.98 : 8,897.57 = 3,615.12 : x
  2. Step 2: Convert to fraction form
    6,446.98/8,897.57 = 3,615.12/x
  3. Step 3: Cross multiply
    6,446.98x = 8,897.57 × 3,615.12
  4. Step 4: Simplify right side
    6,446.98x = 32,165,783.26
  5. Step 5: Solve for x
    x = 32,165,783.26/6,446.98
  6. Step 6: Final answer
    x = 4,989.28

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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.