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Finding the Fourth Proportional to 4,166.24, 5,712.93 and 4,026.51

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Solution

The fourth proportional to 4,166.24, 5,712.93 and 4,026.51 is: 5,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.24 : 5,712.93 = 4,026.51 : x
  2. Step 2: Convert to fraction form
    4,166.24/5,712.93 = 4,026.51/x
  3. Step 3: Cross multiply
    4,166.24x = 5,712.93 × 4,026.51
  4. Step 4: Simplify right side
    4,166.24x = 23,003,169.77
  5. Step 5: Solve for x
    x = 23,003,169.77/4,166.24
  6. Step 6: Final answer
    x = 5,521.33

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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.