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Finding the Fourth Proportional to 4,650.38, 6,973.65 and 2,309.53

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Solution

The fourth proportional to 4,650.38, 6,973.65 and 2,309.53 is: 3,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.38 : 6,973.65 = 2,309.53 : x
  2. Step 2: Convert to fraction form
    4,650.38/6,973.65 = 2,309.53/x
  3. Step 3: Cross multiply
    4,650.38x = 6,973.65 × 2,309.53
  4. Step 4: Simplify right side
    4,650.38x = 16,105,853.88
  5. Step 5: Solve for x
    x = 16,105,853.88/4,650.38
  6. Step 6: Final answer
    x = 3,463.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.