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Finding the Fourth Proportional to 4,143.63, 5,718.13 and 2,255.18

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Solution

The fourth proportional to 4,143.63, 5,718.13 and 2,255.18 is: 3,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.63 : 5,718.13 = 2,255.18 : x
  2. Step 2: Convert to fraction form
    4,143.63/5,718.13 = 2,255.18/x
  3. Step 3: Cross multiply
    4,143.63x = 5,718.13 × 2,255.18
  4. Step 4: Simplify right side
    4,143.63x = 12,895,421.07
  5. Step 5: Solve for x
    x = 12,895,421.07/4,143.63
  6. Step 6: Final answer
    x = 3,112.11

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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.