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Finding the Fourth Proportional to 3,116.87, 4,675.84 and 1,556.94

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Solution

The fourth proportional to 3,116.87, 4,675.84 and 1,556.94 is: 2,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.87 : 4,675.84 = 1,556.94 : x
  2. Step 2: Convert to fraction form
    3,116.87/4,675.84 = 1,556.94/x
  3. Step 3: Cross multiply
    3,116.87x = 4,675.84 × 1,556.94
  4. Step 4: Simplify right side
    3,116.87x = 7,280,002.33
  5. Step 5: Solve for x
    x = 7,280,002.33/3,116.87
  6. Step 6: Final answer
    x = 2,335.68

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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.