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Finding the Fourth Proportional to 3,504.13, 5,256.18 and 1,423.64

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Solution

The fourth proportional to 3,504.13, 5,256.18 and 1,423.64 is: 2,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.13 : 5,256.18 = 1,423.64 : x
  2. Step 2: Convert to fraction form
    3,504.13/5,256.18 = 1,423.64/x
  3. Step 3: Cross multiply
    3,504.13x = 5,256.18 × 1,423.64
  4. Step 4: Simplify right side
    3,504.13x = 7,482,921.24
  5. Step 5: Solve for x
    x = 7,482,921.24/3,504.13
  6. Step 6: Final answer
    x = 2,135.46

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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.