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Finding the Fourth Proportional to 3,640.65, 5,460.99 and 1,300.02

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Solution

The fourth proportional to 3,640.65, 5,460.99 and 1,300.02 is: 1,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.65 : 5,460.99 = 1,300.02 : x
  2. Step 2: Convert to fraction form
    3,640.65/5,460.99 = 1,300.02/x
  3. Step 3: Cross multiply
    3,640.65x = 5,460.99 × 1,300.02
  4. Step 4: Simplify right side
    3,640.65x = 7,099,396.22
  5. Step 5: Solve for x
    x = 7,099,396.22/3,640.65
  6. Step 6: Final answer
    x = 1,950.04

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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.