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Finding the Fourth Proportional to 3,985.42, 5,973.60 and 2,033.50

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Solution

The fourth proportional to 3,985.42, 5,973.60 and 2,033.50 is: 3,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.42 : 5,973.60 = 2,033.50 : x
  2. Step 2: Convert to fraction form
    3,985.42/5,973.60 = 2,033.50/x
  3. Step 3: Cross multiply
    3,985.42x = 5,973.60 × 2,033.50
  4. Step 4: Simplify right side
    3,985.42x = 12,147,315.60
  5. Step 5: Solve for x
    x = 12,147,315.60/3,985.42
  6. Step 6: Final answer
    x = 3,047.94

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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.