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Finding the Fourth Proportional to 3,271.70, 4,886.74 and 2,810.81

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Solution

The fourth proportional to 3,271.70, 4,886.74 and 2,810.81 is: 4,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.70 : 4,886.74 = 2,810.81 : x
  2. Step 2: Convert to fraction form
    3,271.70/4,886.74 = 2,810.81/x
  3. Step 3: Cross multiply
    3,271.70x = 4,886.74 × 2,810.81
  4. Step 4: Simplify right side
    3,271.70x = 13,735,697.66
  5. Step 5: Solve for x
    x = 13,735,697.66/3,271.70
  6. Step 6: Final answer
    x = 4,198.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.