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Finding the Fourth Proportional to 4,562.07, 6,838.11 and 1,785.69

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Solution

The fourth proportional to 4,562.07, 6,838.11 and 1,785.69 is: 2,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.07 : 6,838.11 = 1,785.69 : x
  2. Step 2: Convert to fraction form
    4,562.07/6,838.11 = 1,785.69/x
  3. Step 3: Cross multiply
    4,562.07x = 6,838.11 × 1,785.69
  4. Step 4: Simplify right side
    4,562.07x = 12,210,770.29
  5. Step 5: Solve for x
    x = 12,210,770.29/4,562.07
  6. Step 6: Final answer
    x = 2,676.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.