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Finding the Fourth Proportional to 5,312.56, 7,967 and 1,849.04

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Solution

The fourth proportional to 5,312.56, 7,967 and 1,849.04 is: 2,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.56 : 7,967 = 1,849.04 : x
  2. Step 2: Convert to fraction form
    5,312.56/7,967 = 1,849.04/x
  3. Step 3: Cross multiply
    5,312.56x = 7,967 × 1,849.04
  4. Step 4: Simplify right side
    5,312.56x = 14,731,301.68
  5. Step 5: Solve for x
    x = 14,731,301.68/5,312.56
  6. Step 6: Final answer
    x = 2,772.92

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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.