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Finding the Fourth Proportional to 4,660.07, 6,430.32 and 2,771.69

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Solution

The fourth proportional to 4,660.07, 6,430.32 and 2,771.69 is: 3,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.07 : 6,430.32 = 2,771.69 : x
  2. Step 2: Convert to fraction form
    4,660.07/6,430.32 = 2,771.69/x
  3. Step 3: Cross multiply
    4,660.07x = 6,430.32 × 2,771.69
  4. Step 4: Simplify right side
    4,660.07x = 17,822,821.49
  5. Step 5: Solve for x
    x = 17,822,821.49/4,660.07
  6. Step 6: Final answer
    x = 3,824.59

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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.