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Finding the Fourth Proportional to 5,103.66, 7,649.06 and 2,329.80

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Solution

The fourth proportional to 5,103.66, 7,649.06 and 2,329.80 is: 3,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.66 : 7,649.06 = 2,329.80 : x
  2. Step 2: Convert to fraction form
    5,103.66/7,649.06 = 2,329.80/x
  3. Step 3: Cross multiply
    5,103.66x = 7,649.06 × 2,329.80
  4. Step 4: Simplify right side
    5,103.66x = 17,820,779.99
  5. Step 5: Solve for x
    x = 17,820,779.99/5,103.66
  6. Step 6: Final answer
    x = 3,491.76

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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.