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Finding the Fourth Proportional to 3,504.84, 5,257.98 and 1,039.62

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Solution

The fourth proportional to 3,504.84, 5,257.98 and 1,039.62 is: 1,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.84 : 5,257.98 = 1,039.62 : x
  2. Step 2: Convert to fraction form
    3,504.84/5,257.98 = 1,039.62/x
  3. Step 3: Cross multiply
    3,504.84x = 5,257.98 × 1,039.62
  4. Step 4: Simplify right side
    3,504.84x = 5,466,301.17
  5. Step 5: Solve for x
    x = 5,466,301.17/3,504.84
  6. Step 6: Final answer
    x = 1,559.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.