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Finding the Fourth Proportional to 3,843.07, 5,303.50 and 2,271.16

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Solution

The fourth proportional to 3,843.07, 5,303.50 and 2,271.16 is: 3,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.07 : 5,303.50 = 2,271.16 : x
  2. Step 2: Convert to fraction form
    3,843.07/5,303.50 = 2,271.16/x
  3. Step 3: Cross multiply
    3,843.07x = 5,303.50 × 2,271.16
  4. Step 4: Simplify right side
    3,843.07x = 12,045,097.06
  5. Step 5: Solve for x
    x = 12,045,097.06/3,843.07
  6. Step 6: Final answer
    x = 3,134.24

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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.