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Finding the Fourth Proportional to 3,829.84, 5,284.32 and 2,258.08

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Solution

The fourth proportional to 3,829.84, 5,284.32 and 2,258.08 is: 3,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.84 : 5,284.32 = 2,258.08 : x
  2. Step 2: Convert to fraction form
    3,829.84/5,284.32 = 2,258.08/x
  3. Step 3: Cross multiply
    3,829.84x = 5,284.32 × 2,258.08
  4. Step 4: Simplify right side
    3,829.84x = 11,932,417.31
  5. Step 5: Solve for x
    x = 11,932,417.31/3,829.84
  6. Step 6: Final answer
    x = 3,115.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.