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Finding the Fourth Proportional to 5,847.30, 8,055.14 and 5,005.30

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Solution

The fourth proportional to 5,847.30, 8,055.14 and 5,005.30 is: 6,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.30 : 8,055.14 = 5,005.30 : x
  2. Step 2: Convert to fraction form
    5,847.30/8,055.14 = 5,005.30/x
  3. Step 3: Cross multiply
    5,847.30x = 8,055.14 × 5,005.30
  4. Step 4: Simplify right side
    5,847.30x = 40,318,392.24
  5. Step 5: Solve for x
    x = 40,318,392.24/5,847.30
  6. Step 6: Final answer
    x = 6,895.22

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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.