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Finding the Fourth Proportional to 4,271.66, 6,409.59 and 2,866.97

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Solution

The fourth proportional to 4,271.66, 6,409.59 and 2,866.97 is: 4,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.66 : 6,409.59 = 2,866.97 : x
  2. Step 2: Convert to fraction form
    4,271.66/6,409.59 = 2,866.97/x
  3. Step 3: Cross multiply
    4,271.66x = 6,409.59 × 2,866.97
  4. Step 4: Simplify right side
    4,271.66x = 18,376,055.86
  5. Step 5: Solve for x
    x = 18,376,055.86/4,271.66
  6. Step 6: Final answer
    x = 4,301.85

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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.