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Finding the Fourth Proportional to 4,145.22, 5,683.05 and 4,071.51

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Solution

The fourth proportional to 4,145.22, 5,683.05 and 4,071.51 is: 5,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.22 : 5,683.05 = 4,071.51 : x
  2. Step 2: Convert to fraction form
    4,145.22/5,683.05 = 4,071.51/x
  3. Step 3: Cross multiply
    4,145.22x = 5,683.05 × 4,071.51
  4. Step 4: Simplify right side
    4,145.22x = 23,138,594.91
  5. Step 5: Solve for x
    x = 23,138,594.91/4,145.22
  6. Step 6: Final answer
    x = 5,581.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.