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Finding the Fourth Proportional to 3,504.84, 5,259.33 and 1,424.69

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Solution

The fourth proportional to 3,504.84, 5,259.33 and 1,424.69 is: 2,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.84 : 5,259.33 = 1,424.69 : x
  2. Step 2: Convert to fraction form
    3,504.84/5,259.33 = 1,424.69/x
  3. Step 3: Cross multiply
    3,504.84x = 5,259.33 × 1,424.69
  4. Step 4: Simplify right side
    3,504.84x = 7,492,914.86
  5. Step 5: Solve for x
    x = 7,492,914.86/3,504.84
  6. Step 6: Final answer
    x = 2,137.88

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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.