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Finding the Fourth Proportional to 5,101.36, 7,649.64 and 1,814.40

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Solution

The fourth proportional to 5,101.36, 7,649.64 and 1,814.40 is: 2,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.36 : 7,649.64 = 1,814.40 : x
  2. Step 2: Convert to fraction form
    5,101.36/7,649.64 = 1,814.40/x
  3. Step 3: Cross multiply
    5,101.36x = 7,649.64 × 1,814.40
  4. Step 4: Simplify right side
    5,101.36x = 13,879,506.82
  5. Step 5: Solve for x
    x = 13,879,506.82/5,101.36
  6. Step 6: Final answer
    x = 2,720.75

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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.