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Finding the Fourth Proportional to 3,705.94, 5,564.45 and 2,328

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Solution

The fourth proportional to 3,705.94, 5,564.45 and 2,328 is: 3,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.94 : 5,564.45 = 2,328 : x
  2. Step 2: Convert to fraction form
    3,705.94/5,564.45 = 2,328/x
  3. Step 3: Cross multiply
    3,705.94x = 5,564.45 × 2,328
  4. Step 4: Simplify right side
    3,705.94x = 12,954,039.60
  5. Step 5: Solve for x
    x = 12,954,039.60/3,705.94
  6. Step 6: Final answer
    x = 3,495.48

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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.