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Finding the Fourth Proportional to 4,154.00, 5,730.93 and 2,661.66

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Solution

The fourth proportional to 4,154.00, 5,730.93 and 2,661.66 is: 3,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.00 : 5,730.93 = 2,661.66 : x
  2. Step 2: Convert to fraction form
    4,154.00/5,730.93 = 2,661.66/x
  3. Step 3: Cross multiply
    4,154.00x = 5,730.93 × 2,661.66
  4. Step 4: Simplify right side
    4,154.00x = 15,253,787.14
  5. Step 5: Solve for x
    x = 15,253,787.14/4,154.00
  6. Step 6: Final answer
    x = 3,672.08

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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.