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Finding the Fourth Proportional to 4,756.74, 6,564.22 and 2,660.86

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Solution

The fourth proportional to 4,756.74, 6,564.22 and 2,660.86 is: 3,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.74 : 6,564.22 = 2,660.86 : x
  2. Step 2: Convert to fraction form
    4,756.74/6,564.22 = 2,660.86/x
  3. Step 3: Cross multiply
    4,756.74x = 6,564.22 × 2,660.86
  4. Step 4: Simplify right side
    4,756.74x = 17,466,470.43
  5. Step 5: Solve for x
    x = 17,466,470.43/4,756.74
  6. Step 6: Final answer
    x = 3,671.94

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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.