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Finding the Fourth Proportional to 3,830.04, 5,284.80 and 2,258.64

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Solution

The fourth proportional to 3,830.04, 5,284.80 and 2,258.64 is: 3,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.04 : 5,284.80 = 2,258.64 : x
  2. Step 2: Convert to fraction form
    3,830.04/5,284.80 = 2,258.64/x
  3. Step 3: Cross multiply
    3,830.04x = 5,284.80 × 2,258.64
  4. Step 4: Simplify right side
    3,830.04x = 11,936,460.67
  5. Step 5: Solve for x
    x = 11,936,460.67/3,830.04
  6. Step 6: Final answer
    x = 3,116.54

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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.