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Finding the Fourth Proportional to 3,651.36, 5,474.88 and 1,430.34

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Solution

The fourth proportional to 3,651.36, 5,474.88 and 1,430.34 is: 2,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.36 : 5,474.88 = 1,430.34 : x
  2. Step 2: Convert to fraction form
    3,651.36/5,474.88 = 1,430.34/x
  3. Step 3: Cross multiply
    3,651.36x = 5,474.88 × 1,430.34
  4. Step 4: Simplify right side
    3,651.36x = 7,830,939.86
  5. Step 5: Solve for x
    x = 7,830,939.86/3,651.36
  6. Step 6: Final answer
    x = 2,144.66

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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.