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Finding the Fourth Proportional to 4,606.47, 6,906.02 and 2,007.59

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Solution

The fourth proportional to 4,606.47, 6,906.02 and 2,007.59 is: 3,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.47 : 6,906.02 = 2,007.59 : x
  2. Step 2: Convert to fraction form
    4,606.47/6,906.02 = 2,007.59/x
  3. Step 3: Cross multiply
    4,606.47x = 6,906.02 × 2,007.59
  4. Step 4: Simplify right side
    4,606.47x = 13,864,412.12
  5. Step 5: Solve for x
    x = 13,864,412.12/4,606.47
  6. Step 6: Final answer
    x = 3,009.77

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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.