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Finding the Fourth Proportional to 3,214.53, 4,820.27 and 1,827.52

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Solution

The fourth proportional to 3,214.53, 4,820.27 and 1,827.52 is: 2,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.53 : 4,820.27 = 1,827.52 : x
  2. Step 2: Convert to fraction form
    3,214.53/4,820.27 = 1,827.52/x
  3. Step 3: Cross multiply
    3,214.53x = 4,820.27 × 1,827.52
  4. Step 4: Simplify right side
    3,214.53x = 8,809,118.64
  5. Step 5: Solve for x
    x = 8,809,118.64/3,214.53
  6. Step 6: Final answer
    x = 2,740.41

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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.