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Finding the Fourth Proportional to 4,604.69, 6,908.38 and 1,484.63

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Solution

The fourth proportional to 4,604.69, 6,908.38 and 1,484.63 is: 2,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.69 : 6,908.38 = 1,484.63 : x
  2. Step 2: Convert to fraction form
    4,604.69/6,908.38 = 1,484.63/x
  3. Step 3: Cross multiply
    4,604.69x = 6,908.38 × 1,484.63
  4. Step 4: Simplify right side
    4,604.69x = 10,256,373.76
  5. Step 5: Solve for x
    x = 10,256,373.76/4,604.69
  6. Step 6: Final answer
    x = 2,227.38

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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.