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Finding the Fourth Proportional to 6,446.88, 8,897.44 and 3,652.88

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Solution

The fourth proportional to 6,446.88, 8,897.44 and 3,652.88 is: 5,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.88 : 8,897.44 = 3,652.88 : x
  2. Step 2: Convert to fraction form
    6,446.88/8,897.44 = 3,652.88/x
  3. Step 3: Cross multiply
    6,446.88x = 8,897.44 × 3,652.88
  4. Step 4: Simplify right side
    6,446.88x = 32,501,280.63
  5. Step 5: Solve for x
    x = 32,501,280.63/6,446.88
  6. Step 6: Final answer
    x = 5,041.40

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Why These Related Problems?

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