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Finding the Fourth Proportional to 3,501.76, 5,252.34 and 2,039.98

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Solution

The fourth proportional to 3,501.76, 5,252.34 and 2,039.98 is: 3,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.76 : 5,252.34 = 2,039.98 : x
  2. Step 2: Convert to fraction form
    3,501.76/5,252.34 = 2,039.98/x
  3. Step 3: Cross multiply
    3,501.76x = 5,252.34 × 2,039.98
  4. Step 4: Simplify right side
    3,501.76x = 10,714,668.55
  5. Step 5: Solve for x
    x = 10,714,668.55/3,501.76
  6. Step 6: Final answer
    x = 3,059.80

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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.