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Finding the Fourth Proportional to 6,294.44, 8,688 and 3,643.52

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Solution

The fourth proportional to 6,294.44, 8,688 and 3,643.52 is: 5,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.44 : 8,688 = 3,643.52 : x
  2. Step 2: Convert to fraction form
    6,294.44/8,688 = 3,643.52/x
  3. Step 3: Cross multiply
    6,294.44x = 8,688 × 3,643.52
  4. Step 4: Simplify right side
    6,294.44x = 31,654,901.76
  5. Step 5: Solve for x
    x = 31,654,901.76/6,294.44
  6. Step 6: Final answer
    x = 5,029.03

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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.