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Finding the Fourth Proportional to 4,095.50, 6,144.28 and 1,754.33

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Solution

The fourth proportional to 4,095.50, 6,144.28 and 1,754.33 is: 2,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.50 : 6,144.28 = 1,754.33 : x
  2. Step 2: Convert to fraction form
    4,095.50/6,144.28 = 1,754.33/x
  3. Step 3: Cross multiply
    4,095.50x = 6,144.28 × 1,754.33
  4. Step 4: Simplify right side
    4,095.50x = 10,779,059.63
  5. Step 5: Solve for x
    x = 10,779,059.63/4,095.50
  6. Step 6: Final answer
    x = 2,631.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.