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Finding the Fourth Proportional to 3,315.47, 4,577.31 and 2,946.44

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Solution

The fourth proportional to 3,315.47, 4,577.31 and 2,946.44 is: 4,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.47 : 4,577.31 = 2,946.44 : x
  2. Step 2: Convert to fraction form
    3,315.47/4,577.31 = 2,946.44/x
  3. Step 3: Cross multiply
    3,315.47x = 4,577.31 × 2,946.44
  4. Step 4: Simplify right side
    3,315.47x = 13,486,780.72
  5. Step 5: Solve for x
    x = 13,486,780.72/3,315.47
  6. Step 6: Final answer
    x = 4,067.84

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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.