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Finding the Fourth Proportional to 5,828.64, 8,043.60 and 3,966.24

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Solution

The fourth proportional to 5,828.64, 8,043.60 and 3,966.24 is: 5,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.64 : 8,043.60 = 3,966.24 : x
  2. Step 2: Convert to fraction form
    5,828.64/8,043.60 = 3,966.24/x
  3. Step 3: Cross multiply
    5,828.64x = 8,043.60 × 3,966.24
  4. Step 4: Simplify right side
    5,828.64x = 31,902,848.06
  5. Step 5: Solve for x
    x = 31,902,848.06/5,828.64
  6. Step 6: Final answer
    x = 5,473.46

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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.