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Finding the Fourth Proportional to 4,181.68, 6,274.14 and 1,584.01

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Solution

The fourth proportional to 4,181.68, 6,274.14 and 1,584.01 is: 2,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.68 : 6,274.14 = 1,584.01 : x
  2. Step 2: Convert to fraction form
    4,181.68/6,274.14 = 1,584.01/x
  3. Step 3: Cross multiply
    4,181.68x = 6,274.14 × 1,584.01
  4. Step 4: Simplify right side
    4,181.68x = 9,938,300.50
  5. Step 5: Solve for x
    x = 9,938,300.50/4,181.68
  6. Step 6: Final answer
    x = 2,376.63

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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.