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Finding the Fourth Proportional to 6,491.95, 9,730.19 and 3,720.53

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Solution

The fourth proportional to 6,491.95, 9,730.19 and 3,720.53 is: 5,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.95 : 9,730.19 = 3,720.53 : x
  2. Step 2: Convert to fraction form
    6,491.95/9,730.19 = 3,720.53/x
  3. Step 3: Cross multiply
    6,491.95x = 9,730.19 × 3,720.53
  4. Step 4: Simplify right side
    6,491.95x = 36,201,497.43
  5. Step 5: Solve for x
    x = 36,201,497.43/6,491.95
  6. Step 6: Final answer
    x = 5,576.37

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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.