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Finding the Fourth Proportional to 4,761.85, 6,564.59 and 3,500.68

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Solution

The fourth proportional to 4,761.85, 6,564.59 and 3,500.68 is: 4,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.85 : 6,564.59 = 3,500.68 : x
  2. Step 2: Convert to fraction form
    4,761.85/6,564.59 = 3,500.68/x
  3. Step 3: Cross multiply
    4,761.85x = 6,564.59 × 3,500.68
  4. Step 4: Simplify right side
    4,761.85x = 22,980,528.92
  5. Step 5: Solve for x
    x = 22,980,528.92/4,761.85
  6. Step 6: Final answer
    x = 4,825.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.