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Finding the Fourth Proportional to 5,884.94, 8,113.28 and 5,042.00

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Solution

The fourth proportional to 5,884.94, 8,113.28 and 5,042.00 is: 6,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.94 : 8,113.28 = 5,042.00 : x
  2. Step 2: Convert to fraction form
    5,884.94/8,113.28 = 5,042.00/x
  3. Step 3: Cross multiply
    5,884.94x = 8,113.28 × 5,042.00
  4. Step 4: Simplify right side
    5,884.94x = 40,907,091.98
  5. Step 5: Solve for x
    x = 40,907,091.98/5,884.94
  6. Step 6: Final answer
    x = 6,951.15

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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.