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Finding the Fourth Proportional to 3,748.44, 5,180.22 and 3,038.88

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Solution

The fourth proportional to 3,748.44, 5,180.22 and 3,038.88 is: 4,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.44 : 5,180.22 = 3,038.88 : x
  2. Step 2: Convert to fraction form
    3,748.44/5,180.22 = 3,038.88/x
  3. Step 3: Cross multiply
    3,748.44x = 5,180.22 × 3,038.88
  4. Step 4: Simplify right side
    3,748.44x = 15,742,066.95
  5. Step 5: Solve for x
    x = 15,742,066.95/3,748.44
  6. Step 6: Final answer
    x = 4,199.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.