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Finding the Fourth Proportional to 4,307.36, 6,459.32 and 1,843.28

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Solution

The fourth proportional to 4,307.36, 6,459.32 and 1,843.28 is: 2,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.36 : 6,459.32 = 1,843.28 : x
  2. Step 2: Convert to fraction form
    4,307.36/6,459.32 = 1,843.28/x
  3. Step 3: Cross multiply
    4,307.36x = 6,459.32 × 1,843.28
  4. Step 4: Simplify right side
    4,307.36x = 11,906,335.37
  5. Step 5: Solve for x
    x = 11,906,335.37/4,307.36
  6. Step 6: Final answer
    x = 2,764.18

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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.