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Finding the Fourth Proportional to 6,085.81, 9,130.20 and 3,589.08

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Solution

The fourth proportional to 6,085.81, 9,130.20 and 3,589.08 is: 5,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.81 : 9,130.20 = 3,589.08 : x
  2. Step 2: Convert to fraction form
    6,085.81/9,130.20 = 3,589.08/x
  3. Step 3: Cross multiply
    6,085.81x = 9,130.20 × 3,589.08
  4. Step 4: Simplify right side
    6,085.81x = 32,769,018.22
  5. Step 5: Solve for x
    x = 32,769,018.22/6,085.81
  6. Step 6: Final answer
    x = 5,384.50

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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.