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Finding the Fourth Proportional to 3,415.35, 5,124.26 and 1,194.51

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Solution

The fourth proportional to 3,415.35, 5,124.26 and 1,194.51 is: 1,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.35 : 5,124.26 = 1,194.51 : x
  2. Step 2: Convert to fraction form
    3,415.35/5,124.26 = 1,194.51/x
  3. Step 3: Cross multiply
    3,415.35x = 5,124.26 × 1,194.51
  4. Step 4: Simplify right side
    3,415.35x = 6,120,973.84
  5. Step 5: Solve for x
    x = 6,120,973.84/3,415.35
  6. Step 6: Final answer
    x = 1,792.20

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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.