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Finding the Fourth Proportional to 6,308.34, 8,705.67 and 3,513.90

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Solution

The fourth proportional to 6,308.34, 8,705.67 and 3,513.90 is: 4,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.34 : 8,705.67 = 3,513.90 : x
  2. Step 2: Convert to fraction form
    6,308.34/8,705.67 = 3,513.90/x
  3. Step 3: Cross multiply
    6,308.34x = 8,705.67 × 3,513.90
  4. Step 4: Simplify right side
    6,308.34x = 30,590,853.81
  5. Step 5: Solve for x
    x = 30,590,853.81/6,308.34
  6. Step 6: Final answer
    x = 4,849.27

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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.