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Finding the Fourth Proportional to 4,661.74, 6,429.84 and 2,671.58

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Solution

The fourth proportional to 4,661.74, 6,429.84 and 2,671.58 is: 3,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.74 : 6,429.84 = 2,671.58 : x
  2. Step 2: Convert to fraction form
    4,661.74/6,429.84 = 2,671.58/x
  3. Step 3: Cross multiply
    4,661.74x = 6,429.84 × 2,671.58
  4. Step 4: Simplify right side
    4,661.74x = 17,177,831.95
  5. Step 5: Solve for x
    x = 17,177,831.95/4,661.74
  6. Step 6: Final answer
    x = 3,684.85

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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.