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Finding the Fourth Proportional to 6,045.33, 9,068.05 and 1,828.61

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Solution

The fourth proportional to 6,045.33, 9,068.05 and 1,828.61 is: 2,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.33 : 9,068.05 = 1,828.61 : x
  2. Step 2: Convert to fraction form
    6,045.33/9,068.05 = 1,828.61/x
  3. Step 3: Cross multiply
    6,045.33x = 9,068.05 × 1,828.61
  4. Step 4: Simplify right side
    6,045.33x = 16,581,951.87
  5. Step 5: Solve for x
    x = 16,581,951.87/6,045.33
  6. Step 6: Final answer
    x = 2,742.94

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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.