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Finding the Fourth Proportional to 7,034.74, 10,549.37 and 2,649.80

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Solution

The fourth proportional to 7,034.74, 10,549.37 and 2,649.80 is: 3,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.74 : 10,549.37 = 2,649.80 : x
  2. Step 2: Convert to fraction form
    7,034.74/10,549.37 = 2,649.80/x
  3. Step 3: Cross multiply
    7,034.74x = 10,549.37 × 2,649.80
  4. Step 4: Simplify right side
    7,034.74x = 27,953,753.62
  5. Step 5: Solve for x
    x = 27,953,753.62/7,034.74
  6. Step 6: Final answer
    x = 3,973.67

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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.