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Finding the Fourth Proportional to 3,662.99, 5,494.06 and 1,065.93

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Solution

The fourth proportional to 3,662.99, 5,494.06 and 1,065.93 is: 1,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.99 : 5,494.06 = 1,065.93 : x
  2. Step 2: Convert to fraction form
    3,662.99/5,494.06 = 1,065.93/x
  3. Step 3: Cross multiply
    3,662.99x = 5,494.06 × 1,065.93
  4. Step 4: Simplify right side
    3,662.99x = 5,856,283.38
  5. Step 5: Solve for x
    x = 5,856,283.38/3,662.99
  6. Step 6: Final answer
    x = 1,598.77

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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.