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Finding the Fourth Proportional to 3,734.51, 5,157.07 and 2,410.46

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Solution

The fourth proportional to 3,734.51, 5,157.07 and 2,410.46 is: 3,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.51 : 5,157.07 = 2,410.46 : x
  2. Step 2: Convert to fraction form
    3,734.51/5,157.07 = 2,410.46/x
  3. Step 3: Cross multiply
    3,734.51x = 5,157.07 × 2,410.46
  4. Step 4: Simplify right side
    3,734.51x = 12,430,898.48
  5. Step 5: Solve for x
    x = 12,430,898.48/3,734.51
  6. Step 6: Final answer
    x = 3,328.66

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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.