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Finding the Fourth Proportional to 5,035.42, 7,553.13 and 1,748.50

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Solution

The fourth proportional to 5,035.42, 7,553.13 and 1,748.50 is: 2,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.42 : 7,553.13 = 1,748.50 : x
  2. Step 2: Convert to fraction form
    5,035.42/7,553.13 = 1,748.50/x
  3. Step 3: Cross multiply
    5,035.42x = 7,553.13 × 1,748.50
  4. Step 4: Simplify right side
    5,035.42x = 13,206,674.69
  5. Step 5: Solve for x
    x = 13,206,674.69/5,035.42
  6. Step 6: Final answer
    x = 2,622.76

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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.