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Finding the Fourth Proportional to 5,067.47, 7,602.42 and 1,604.72

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Solution

The fourth proportional to 5,067.47, 7,602.42 and 1,604.72 is: 2,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.47 : 7,602.42 = 1,604.72 : x
  2. Step 2: Convert to fraction form
    5,067.47/7,602.42 = 1,604.72/x
  3. Step 3: Cross multiply
    5,067.47x = 7,602.42 × 1,604.72
  4. Step 4: Simplify right side
    5,067.47x = 12,199,774.43
  5. Step 5: Solve for x
    x = 12,199,774.43/5,067.47
  6. Step 6: Final answer
    x = 2,407.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.