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Finding the Fourth Proportional to 3,485.54, 4,805.06 and 2,158.58

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Solution

The fourth proportional to 3,485.54, 4,805.06 and 2,158.58 is: 2,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.54 : 4,805.06 = 2,158.58 : x
  2. Step 2: Convert to fraction form
    3,485.54/4,805.06 = 2,158.58/x
  3. Step 3: Cross multiply
    3,485.54x = 4,805.06 × 2,158.58
  4. Step 4: Simplify right side
    3,485.54x = 10,372,106.41
  5. Step 5: Solve for x
    x = 10,372,106.41/3,485.54
  6. Step 6: Final answer
    x = 2,975.75

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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.