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Finding the Fourth Proportional to 3,412.58, 5,117.61 and 2,683.58

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Solution

The fourth proportional to 3,412.58, 5,117.61 and 2,683.58 is: 4,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.58 : 5,117.61 = 2,683.58 : x
  2. Step 2: Convert to fraction form
    3,412.58/5,117.61 = 2,683.58/x
  3. Step 3: Cross multiply
    3,412.58x = 5,117.61 × 2,683.58
  4. Step 4: Simplify right side
    3,412.58x = 13,733,515.84
  5. Step 5: Solve for x
    x = 13,733,515.84/3,412.58
  6. Step 6: Final answer
    x = 4,024.38

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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.