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Finding the Fourth Proportional to 3,730.37, 5,596.17 and 1,264.38

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Solution

The fourth proportional to 3,730.37, 5,596.17 and 1,264.38 is: 1,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.37 : 5,596.17 = 1,264.38 : x
  2. Step 2: Convert to fraction form
    3,730.37/5,596.17 = 1,264.38/x
  3. Step 3: Cross multiply
    3,730.37x = 5,596.17 × 1,264.38
  4. Step 4: Simplify right side
    3,730.37x = 7,075,666.81
  5. Step 5: Solve for x
    x = 7,075,666.81/3,730.37
  6. Step 6: Final answer
    x = 1,896.77

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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.