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Finding the Fourth Proportional to 6,206.90, 8,564.68 and 3,688.10

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Solution

The fourth proportional to 6,206.90, 8,564.68 and 3,688.10 is: 5,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.90 : 8,564.68 = 3,688.10 : x
  2. Step 2: Convert to fraction form
    6,206.90/8,564.68 = 3,688.10/x
  3. Step 3: Cross multiply
    6,206.90x = 8,564.68 × 3,688.10
  4. Step 4: Simplify right side
    6,206.90x = 31,587,335.04
  5. Step 5: Solve for x
    x = 31,587,335.04/6,206.90
  6. Step 6: Final answer
    x = 5,089.07

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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.