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Finding the Fourth Proportional to 3,407.03, 4,700.48 and 2,228.78

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Solution

The fourth proportional to 3,407.03, 4,700.48 and 2,228.78 is: 3,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.03 : 4,700.48 = 2,228.78 : x
  2. Step 2: Convert to fraction form
    3,407.03/4,700.48 = 2,228.78/x
  3. Step 3: Cross multiply
    3,407.03x = 4,700.48 × 2,228.78
  4. Step 4: Simplify right side
    3,407.03x = 10,476,336.42
  5. Step 5: Solve for x
    x = 10,476,336.42/3,407.03
  6. Step 6: Final answer
    x = 3,074.92

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