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Finding the Fourth Proportional to 4,156.74, 5,738.42 and 3,210.41

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Solution

The fourth proportional to 4,156.74, 5,738.42 and 3,210.41 is: 4,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.74 : 5,738.42 = 3,210.41 : x
  2. Step 2: Convert to fraction form
    4,156.74/5,738.42 = 3,210.41/x
  3. Step 3: Cross multiply
    4,156.74x = 5,738.42 × 3,210.41
  4. Step 4: Simplify right side
    4,156.74x = 18,422,652.26
  5. Step 5: Solve for x
    x = 18,422,652.26/4,156.74
  6. Step 6: Final answer
    x = 4,432.00

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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.