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Finding the Fourth Proportional to 3,496.40, 5,244.54 and 1,416.38

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Solution

The fourth proportional to 3,496.40, 5,244.54 and 1,416.38 is: 2,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.40 : 5,244.54 = 1,416.38 : x
  2. Step 2: Convert to fraction form
    3,496.40/5,244.54 = 1,416.38/x
  3. Step 3: Cross multiply
    3,496.40x = 5,244.54 × 1,416.38
  4. Step 4: Simplify right side
    3,496.40x = 7,428,261.57
  5. Step 5: Solve for x
    x = 7,428,261.57/3,496.40
  6. Step 6: Final answer
    x = 2,124.55

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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.