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Finding the Fourth Proportional to 6,033.34, 9,045.24 and 3,920.50

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Solution

The fourth proportional to 6,033.34, 9,045.24 and 3,920.50 is: 5,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.34 : 9,045.24 = 3,920.50 : x
  2. Step 2: Convert to fraction form
    6,033.34/9,045.24 = 3,920.50/x
  3. Step 3: Cross multiply
    6,033.34x = 9,045.24 × 3,920.50
  4. Step 4: Simplify right side
    6,033.34x = 35,461,863.42
  5. Step 5: Solve for x
    x = 35,461,863.42/6,033.34
  6. Step 6: Final answer
    x = 5,877.65

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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.