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Finding the Fourth Proportional to 3,764.40, 5,646.60 and 1,820.40

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Solution

The fourth proportional to 3,764.40, 5,646.60 and 1,820.40 is: 2,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.40 : 5,646.60 = 1,820.40 : x
  2. Step 2: Convert to fraction form
    3,764.40/5,646.60 = 1,820.40/x
  3. Step 3: Cross multiply
    3,764.40x = 5,646.60 × 1,820.40
  4. Step 4: Simplify right side
    3,764.40x = 10,279,070.64
  5. Step 5: Solve for x
    x = 10,279,070.64/3,764.40
  6. Step 6: Final answer
    x = 2,730.60

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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.