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Finding the Fourth Proportional to 3,646.13, 5,470.07 and 1,049.04

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Solution

The fourth proportional to 3,646.13, 5,470.07 and 1,049.04 is: 1,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.13 : 5,470.07 = 1,049.04 : x
  2. Step 2: Convert to fraction form
    3,646.13/5,470.07 = 1,049.04/x
  3. Step 3: Cross multiply
    3,646.13x = 5,470.07 × 1,049.04
  4. Step 4: Simplify right side
    3,646.13x = 5,738,316.99
  5. Step 5: Solve for x
    x = 5,738,316.99/3,646.13
  6. Step 6: Final answer
    x = 1,573.81

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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.