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Finding the Fourth Proportional to 6,443.40, 8,892.54 and 4,085.76

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Solution

The fourth proportional to 6,443.40, 8,892.54 and 4,085.76 is: 5,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.40 : 8,892.54 = 4,085.76 : x
  2. Step 2: Convert to fraction form
    6,443.40/8,892.54 = 4,085.76/x
  3. Step 3: Cross multiply
    6,443.40x = 8,892.54 × 4,085.76
  4. Step 4: Simplify right side
    6,443.40x = 36,332,784.23
  5. Step 5: Solve for x
    x = 36,332,784.23/6,443.40
  6. Step 6: Final answer
    x = 5,638.76

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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.