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Finding the Fourth Proportional to 3,501.74, 5,251.62 and 1,035.98

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Solution

The fourth proportional to 3,501.74, 5,251.62 and 1,035.98 is: 1,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.74 : 5,251.62 = 1,035.98 : x
  2. Step 2: Convert to fraction form
    3,501.74/5,251.62 = 1,035.98/x
  3. Step 3: Cross multiply
    3,501.74x = 5,251.62 × 1,035.98
  4. Step 4: Simplify right side
    3,501.74x = 5,440,573.29
  5. Step 5: Solve for x
    x = 5,440,573.29/3,501.74
  6. Step 6: Final answer
    x = 1,553.68

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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.