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Finding the Fourth Proportional to 6,308.63, 8,702.34 and 3,655.67

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Solution

The fourth proportional to 6,308.63, 8,702.34 and 3,655.67 is: 5,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.63 : 8,702.34 = 3,655.67 : x
  2. Step 2: Convert to fraction form
    6,308.63/8,702.34 = 3,655.67/x
  3. Step 3: Cross multiply
    6,308.63x = 8,702.34 × 3,655.67
  4. Step 4: Simplify right side
    6,308.63x = 31,812,883.27
  5. Step 5: Solve for x
    x = 31,812,883.27/6,308.63
  6. Step 6: Final answer
    x = 5,042.76

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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.