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Finding the Fourth Proportional to 4,666.56, 6,998.16 and 1,546

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Solution

The fourth proportional to 4,666.56, 6,998.16 and 1,546 is: 2,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.56 : 6,998.16 = 1,546 : x
  2. Step 2: Convert to fraction form
    4,666.56/6,998.16 = 1,546/x
  3. Step 3: Cross multiply
    4,666.56x = 6,998.16 × 1,546
  4. Step 4: Simplify right side
    4,666.56x = 10,819,155.36
  5. Step 5: Solve for x
    x = 10,819,155.36/4,666.56
  6. Step 6: Final answer
    x = 2,318.44

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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.