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Finding the Fourth Proportional to 3,810.64, 5,258.91 and 2,239.24

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Solution

The fourth proportional to 3,810.64, 5,258.91 and 2,239.24 is: 3,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.64 : 5,258.91 = 2,239.24 : x
  2. Step 2: Convert to fraction form
    3,810.64/5,258.91 = 2,239.24/x
  3. Step 3: Cross multiply
    3,810.64x = 5,258.91 × 2,239.24
  4. Step 4: Simplify right side
    3,810.64x = 11,775,961.63
  5. Step 5: Solve for x
    x = 11,775,961.63/3,810.64
  6. Step 6: Final answer
    x = 3,090.28

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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.