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Finding the Fourth Proportional to 5,028.42, 7,543.24 and 1,740.63

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Solution

The fourth proportional to 5,028.42, 7,543.24 and 1,740.63 is: 2,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.42 : 7,543.24 = 1,740.63 : x
  2. Step 2: Convert to fraction form
    5,028.42/7,543.24 = 1,740.63/x
  3. Step 3: Cross multiply
    5,028.42x = 7,543.24 × 1,740.63
  4. Step 4: Simplify right side
    5,028.42x = 13,129,985.49
  5. Step 5: Solve for x
    x = 13,129,985.49/5,028.42
  6. Step 6: Final answer
    x = 2,611.16

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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.