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Finding the Fourth Proportional to 4,101, 6,154.02 and 2,154.60

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Solution

The fourth proportional to 4,101, 6,154.02 and 2,154.60 is: 3,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101 : 6,154.02 = 2,154.60 : x
  2. Step 2: Convert to fraction form
    4,101/6,154.02 = 2,154.60/x
  3. Step 3: Cross multiply
    4,101x = 6,154.02 × 2,154.60
  4. Step 4: Simplify right side
    4,101x = 13,259,451.49
  5. Step 5: Solve for x
    x = 13,259,451.49/4,101
  6. Step 6: Final answer
    x = 3,233.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.