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Finding the Fourth Proportional to 5,894.67, 8,842.01 and 1,512.17

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Solution

The fourth proportional to 5,894.67, 8,842.01 and 1,512.17 is: 2,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.67 : 8,842.01 = 1,512.17 : x
  2. Step 2: Convert to fraction form
    5,894.67/8,842.01 = 1,512.17/x
  3. Step 3: Cross multiply
    5,894.67x = 8,842.01 × 1,512.17
  4. Step 4: Simplify right side
    5,894.67x = 13,370,570.49
  5. Step 5: Solve for x
    x = 13,370,570.49/5,894.67
  6. Step 6: Final answer
    x = 2,268.25

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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.