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Finding the Fourth Proportional to 6,308.58, 8,705.84 and 3,657.52

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Solution

The fourth proportional to 6,308.58, 8,705.84 and 3,657.52 is: 5,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.58 : 8,705.84 = 3,657.52 : x
  2. Step 2: Convert to fraction form
    6,308.58/8,705.84 = 3,657.52/x
  3. Step 3: Cross multiply
    6,308.58x = 8,705.84 × 3,657.52
  4. Step 4: Simplify right side
    6,308.58x = 31,841,783.92
  5. Step 5: Solve for x
    x = 31,841,783.92/6,308.58
  6. Step 6: Final answer
    x = 5,047.38

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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.