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Finding the Fourth Proportional to 5,033.21, 7,543.56 and 1,742.45

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Solution

The fourth proportional to 5,033.21, 7,543.56 and 1,742.45 is: 2,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.21 : 7,543.56 = 1,742.45 : x
  2. Step 2: Convert to fraction form
    5,033.21/7,543.56 = 1,742.45/x
  3. Step 3: Cross multiply
    5,033.21x = 7,543.56 × 1,742.45
  4. Step 4: Simplify right side
    5,033.21x = 13,144,276.12
  5. Step 5: Solve for x
    x = 13,144,276.12/5,033.21
  6. Step 6: Final answer
    x = 2,611.51

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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.