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Finding the Fourth Proportional to 4,157.25, 5,734.41 and 2,477.51

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Solution

The fourth proportional to 4,157.25, 5,734.41 and 2,477.51 is: 3,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.25 : 5,734.41 = 2,477.51 : x
  2. Step 2: Convert to fraction form
    4,157.25/5,734.41 = 2,477.51/x
  3. Step 3: Cross multiply
    4,157.25x = 5,734.41 × 2,477.51
  4. Step 4: Simplify right side
    4,157.25x = 14,207,058.12
  5. Step 5: Solve for x
    x = 14,207,058.12/4,157.25
  6. Step 6: Final answer
    x = 3,417.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.