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Finding the Fourth Proportional to 7,649.79, 11,477.74 and 3,491.74

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Solution

The fourth proportional to 7,649.79, 11,477.74 and 3,491.74 is: 5,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.79 : 11,477.74 = 3,491.74 : x
  2. Step 2: Convert to fraction form
    7,649.79/11,477.74 = 3,491.74/x
  3. Step 3: Cross multiply
    7,649.79x = 11,477.74 × 3,491.74
  4. Step 4: Simplify right side
    7,649.79x = 40,077,283.87
  5. Step 5: Solve for x
    x = 40,077,283.87/7,649.79
  6. Step 6: Final answer
    x = 5,239.00

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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.