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Finding the Fourth Proportional to 6,027.64, 8,312.59 and 4,135.88

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Solution

The fourth proportional to 6,027.64, 8,312.59 and 4,135.88 is: 5,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.64 : 8,312.59 = 4,135.88 : x
  2. Step 2: Convert to fraction form
    6,027.64/8,312.59 = 4,135.88/x
  3. Step 3: Cross multiply
    6,027.64x = 8,312.59 × 4,135.88
  4. Step 4: Simplify right side
    6,027.64x = 34,379,895.51
  5. Step 5: Solve for x
    x = 34,379,895.51/6,027.64
  6. Step 6: Final answer
    x = 5,703.71

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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.