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Finding the Fourth Proportional to 5,847.93, 8,029.28 and 5,695.70

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Solution

The fourth proportional to 5,847.93, 8,029.28 and 5,695.70 is: 7,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.93 : 8,029.28 = 5,695.70 : x
  2. Step 2: Convert to fraction form
    5,847.93/8,029.28 = 5,695.70/x
  3. Step 3: Cross multiply
    5,847.93x = 8,029.28 × 5,695.70
  4. Step 4: Simplify right side
    5,847.93x = 45,732,344.19
  5. Step 5: Solve for x
    x = 45,732,344.19/5,847.93
  6. Step 6: Final answer
    x = 7,820.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.