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Finding the Fourth Proportional to 4,661.06, 6,431.51 and 2,671.25

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Solution

The fourth proportional to 4,661.06, 6,431.51 and 2,671.25 is: 3,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.06 : 6,431.51 = 2,671.25 : x
  2. Step 2: Convert to fraction form
    4,661.06/6,431.51 = 2,671.25/x
  3. Step 3: Cross multiply
    4,661.06x = 6,431.51 × 2,671.25
  4. Step 4: Simplify right side
    4,661.06x = 17,180,145.61
  5. Step 5: Solve for x
    x = 17,180,145.61/4,661.06
  6. Step 6: Final answer
    x = 3,685.89

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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.