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Finding the Fourth Proportional to 5,113.12, 7,667.80 and 1,825.32

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Solution

The fourth proportional to 5,113.12, 7,667.80 and 1,825.32 is: 2,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.12 : 7,667.80 = 1,825.32 : x
  2. Step 2: Convert to fraction form
    5,113.12/7,667.80 = 1,825.32/x
  3. Step 3: Cross multiply
    5,113.12x = 7,667.80 × 1,825.32
  4. Step 4: Simplify right side
    5,113.12x = 13,996,188.70
  5. Step 5: Solve for x
    x = 13,996,188.70/5,113.12
  6. Step 6: Final answer
    x = 2,737.31

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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.