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Finding the Fourth Proportional to 4,475.66, 6,713.01 and 1,189.08

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Solution

The fourth proportional to 4,475.66, 6,713.01 and 1,189.08 is: 1,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.66 : 6,713.01 = 1,189.08 : x
  2. Step 2: Convert to fraction form
    4,475.66/6,713.01 = 1,189.08/x
  3. Step 3: Cross multiply
    4,475.66x = 6,713.01 × 1,189.08
  4. Step 4: Simplify right side
    4,475.66x = 7,982,305.93
  5. Step 5: Solve for x
    x = 7,982,305.93/4,475.66
  6. Step 6: Final answer
    x = 1,783.49

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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.