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Finding the Fourth Proportional to 5,412.72, 8,112.42 and 4,312.56

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Solution

The fourth proportional to 5,412.72, 8,112.42 and 4,312.56 is: 6,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.72 : 8,112.42 = 4,312.56 : x
  2. Step 2: Convert to fraction form
    5,412.72/8,112.42 = 4,312.56/x
  3. Step 3: Cross multiply
    5,412.72x = 8,112.42 × 4,312.56
  4. Step 4: Simplify right side
    5,412.72x = 34,985,298.00
  5. Step 5: Solve for x
    x = 34,985,298.00/5,412.72
  6. Step 6: Final answer
    x = 6,463.53

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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.