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Finding the Fourth Proportional to 4,666.93, 6,998.31 and 2,475.16

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Solution

The fourth proportional to 4,666.93, 6,998.31 and 2,475.16 is: 3,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.93 : 6,998.31 = 2,475.16 : x
  2. Step 2: Convert to fraction form
    4,666.93/6,998.31 = 2,475.16/x
  3. Step 3: Cross multiply
    4,666.93x = 6,998.31 × 2,475.16
  4. Step 4: Simplify right side
    4,666.93x = 17,321,901.99
  5. Step 5: Solve for x
    x = 17,321,901.99/4,666.93
  6. Step 6: Final answer
    x = 3,711.63

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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.