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Finding the Fourth Proportional to 4,665.56, 6,996.66 and 1,545

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Solution

The fourth proportional to 4,665.56, 6,996.66 and 1,545 is: 2,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.56 : 6,996.66 = 1,545 : x
  2. Step 2: Convert to fraction form
    4,665.56/6,996.66 = 1,545/x
  3. Step 3: Cross multiply
    4,665.56x = 6,996.66 × 1,545
  4. Step 4: Simplify right side
    4,665.56x = 10,809,839.70
  5. Step 5: Solve for x
    x = 10,809,839.70/4,665.56
  6. Step 6: Final answer
    x = 2,316.94

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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.