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Finding the Fourth Proportional to 4,564.67, 6,292.80 and 3,446.87

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Solution

The fourth proportional to 4,564.67, 6,292.80 and 3,446.87 is: 4,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.67 : 6,292.80 = 3,446.87 : x
  2. Step 2: Convert to fraction form
    4,564.67/6,292.80 = 3,446.87/x
  3. Step 3: Cross multiply
    4,564.67x = 6,292.80 × 3,446.87
  4. Step 4: Simplify right side
    4,564.67x = 21,690,432.07
  5. Step 5: Solve for x
    x = 21,690,432.07/4,564.67
  6. Step 6: Final answer
    x = 4,751.81

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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.