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Finding the Fourth Proportional to 4,177.80, 6,258.60 and 2,325.60

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Solution

The fourth proportional to 4,177.80, 6,258.60 and 2,325.60 is: 3,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.80 : 6,258.60 = 2,325.60 : x
  2. Step 2: Convert to fraction form
    4,177.80/6,258.60 = 2,325.60/x
  3. Step 3: Cross multiply
    4,177.80x = 6,258.60 × 2,325.60
  4. Step 4: Simplify right side
    4,177.80x = 14,555,000.16
  5. Step 5: Solve for x
    x = 14,555,000.16/4,177.80
  6. Step 6: Final answer
    x = 3,483.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.