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Finding the Fourth Proportional to 3,154.89, 4,735.25 and 1,595.98

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Solution

The fourth proportional to 3,154.89, 4,735.25 and 1,595.98 is: 2,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.89 : 4,735.25 = 1,595.98 : x
  2. Step 2: Convert to fraction form
    3,154.89/4,735.25 = 1,595.98/x
  3. Step 3: Cross multiply
    3,154.89x = 4,735.25 × 1,595.98
  4. Step 4: Simplify right side
    3,154.89x = 7,557,364.30
  5. Step 5: Solve for x
    x = 7,557,364.30/3,154.89
  6. Step 6: Final answer
    x = 2,395.44

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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.