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Finding the Fourth Proportional to 4,086.64, 6,130.04 and 1,165.03

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Solution

The fourth proportional to 4,086.64, 6,130.04 and 1,165.03 is: 1,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.64 : 6,130.04 = 1,165.03 : x
  2. Step 2: Convert to fraction form
    4,086.64/6,130.04 = 1,165.03/x
  3. Step 3: Cross multiply
    4,086.64x = 6,130.04 × 1,165.03
  4. Step 4: Simplify right side
    4,086.64x = 7,141,680.50
  5. Step 5: Solve for x
    x = 7,141,680.50/4,086.64
  6. Step 6: Final answer
    x = 1,747.57

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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.