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Finding the Fourth Proportional to 5,113.58, 7,665.81 and 1,825.94

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Solution

The fourth proportional to 5,113.58, 7,665.81 and 1,825.94 is: 2,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.58 : 7,665.81 = 1,825.94 : x
  2. Step 2: Convert to fraction form
    5,113.58/7,665.81 = 1,825.94/x
  3. Step 3: Cross multiply
    5,113.58x = 7,665.81 × 1,825.94
  4. Step 4: Simplify right side
    5,113.58x = 13,997,309.11
  5. Step 5: Solve for x
    x = 13,997,309.11/5,113.58
  6. Step 6: Final answer
    x = 2,737.28

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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.