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Finding the Fourth Proportional to 4,502.49, 6,206.00 and 3,009.86

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Solution

The fourth proportional to 4,502.49, 6,206.00 and 3,009.86 is: 4,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.49 : 6,206.00 = 3,009.86 : x
  2. Step 2: Convert to fraction form
    4,502.49/6,206.00 = 3,009.86/x
  3. Step 3: Cross multiply
    4,502.49x = 6,206.00 × 3,009.86
  4. Step 4: Simplify right side
    4,502.49x = 18,679,202.91
  5. Step 5: Solve for x
    x = 18,679,202.91/4,502.49
  6. Step 6: Final answer
    x = 4,148.64

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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.