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Finding the Fourth Proportional to 6,206.66, 8,566.43 and 3,688.28

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Solution

The fourth proportional to 6,206.66, 8,566.43 and 3,688.28 is: 5,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.66 : 8,566.43 = 3,688.28 : x
  2. Step 2: Convert to fraction form
    6,206.66/8,566.43 = 3,688.28/x
  3. Step 3: Cross multiply
    6,206.66x = 8,566.43 × 3,688.28
  4. Step 4: Simplify right side
    6,206.66x = 31,595,407.29
  5. Step 5: Solve for x
    x = 31,595,407.29/6,206.66
  6. Step 6: Final answer
    x = 5,090.57

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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.