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Finding the Fourth Proportional to 4,606.06, 6,908.01 and 1,318.54

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Solution

The fourth proportional to 4,606.06, 6,908.01 and 1,318.54 is: 1,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.06 : 6,908.01 = 1,318.54 : x
  2. Step 2: Convert to fraction form
    4,606.06/6,908.01 = 1,318.54/x
  3. Step 3: Cross multiply
    4,606.06x = 6,908.01 × 1,318.54
  4. Step 4: Simplify right side
    4,606.06x = 9,108,487.51
  5. Step 5: Solve for x
    x = 9,108,487.51/4,606.06
  6. Step 6: Final answer
    x = 1,977.50

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Why These Related Problems?

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