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Finding the Fourth Proportional to 5,894.64, 8,842.64 and 1,999.36

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Solution

The fourth proportional to 5,894.64, 8,842.64 and 1,999.36 is: 2,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.64 : 8,842.64 = 1,999.36 : x
  2. Step 2: Convert to fraction form
    5,894.64/8,842.64 = 1,999.36/x
  3. Step 3: Cross multiply
    5,894.64x = 8,842.64 × 1,999.36
  4. Step 4: Simplify right side
    5,894.64x = 17,679,620.71
  5. Step 5: Solve for x
    x = 17,679,620.71/5,894.64
  6. Step 6: Final answer
    x = 2,999.27

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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.