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Finding the Fourth Proportional to 5,674.32, 8,501.85 and 4,022.64

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Solution

The fourth proportional to 5,674.32, 8,501.85 and 4,022.64 is: 6,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.32 : 8,501.85 = 4,022.64 : x
  2. Step 2: Convert to fraction form
    5,674.32/8,501.85 = 4,022.64/x
  3. Step 3: Cross multiply
    5,674.32x = 8,501.85 × 4,022.64
  4. Step 4: Simplify right side
    5,674.32x = 34,199,881.88
  5. Step 5: Solve for x
    x = 34,199,881.88/5,674.32
  6. Step 6: Final answer
    x = 6,027.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.