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Finding the Fourth Proportional to 3,730.89, 5,596.94 and 1,265.99

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Solution

The fourth proportional to 3,730.89, 5,596.94 and 1,265.99 is: 1,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.89 : 5,596.94 = 1,265.99 : x
  2. Step 2: Convert to fraction form
    3,730.89/5,596.94 = 1,265.99/x
  3. Step 3: Cross multiply
    3,730.89x = 5,596.94 × 1,265.99
  4. Step 4: Simplify right side
    3,730.89x = 7,085,670.07
  5. Step 5: Solve for x
    x = 7,085,670.07/3,730.89
  6. Step 6: Final answer
    x = 1,899.19

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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.