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Finding the Fourth Proportional to 3,655.36, 5,480.88 and 1,434.34

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Solution

The fourth proportional to 3,655.36, 5,480.88 and 1,434.34 is: 2,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.36 : 5,480.88 = 1,434.34 : x
  2. Step 2: Convert to fraction form
    3,655.36/5,480.88 = 1,434.34/x
  3. Step 3: Cross multiply
    3,655.36x = 5,480.88 × 1,434.34
  4. Step 4: Simplify right side
    3,655.36x = 7,861,445.42
  5. Step 5: Solve for x
    x = 7,861,445.42/3,655.36
  6. Step 6: Final answer
    x = 2,150.66

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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.