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Finding the Fourth Proportional to 6,308.96, 8,707.68 and 3,656.48

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Solution

The fourth proportional to 6,308.96, 8,707.68 and 3,656.48 is: 5,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.96 : 8,707.68 = 3,656.48 : x
  2. Step 2: Convert to fraction form
    6,308.96/8,707.68 = 3,656.48/x
  3. Step 3: Cross multiply
    6,308.96x = 8,707.68 × 3,656.48
  4. Step 4: Simplify right side
    6,308.96x = 31,839,457.77
  5. Step 5: Solve for x
    x = 31,839,457.77/6,308.96
  6. Step 6: Final answer
    x = 5,046.70

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