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Finding the Fourth Proportional to 5,895.63, 8,131.80 and 5,005.30

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Solution

The fourth proportional to 5,895.63, 8,131.80 and 5,005.30 is: 6,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.63 : 8,131.80 = 5,005.30 : x
  2. Step 2: Convert to fraction form
    5,895.63/8,131.80 = 5,005.30/x
  3. Step 3: Cross multiply
    5,895.63x = 8,131.80 × 5,005.30
  4. Step 4: Simplify right side
    5,895.63x = 40,702,098.54
  5. Step 5: Solve for x
    x = 40,702,098.54/5,895.63
  6. Step 6: Final answer
    x = 6,903.77

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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.