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Finding the Fourth Proportional to 4,095.42, 6,143.16 and 1,754.22

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Solution

The fourth proportional to 4,095.42, 6,143.16 and 1,754.22 is: 2,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.42 : 6,143.16 = 1,754.22 : x
  2. Step 2: Convert to fraction form
    4,095.42/6,143.16 = 1,754.22/x
  3. Step 3: Cross multiply
    4,095.42x = 6,143.16 × 1,754.22
  4. Step 4: Simplify right side
    4,095.42x = 10,776,454.14
  5. Step 5: Solve for x
    x = 10,776,454.14/4,095.42
  6. Step 6: Final answer
    x = 2,631.34

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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.