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Finding the Fourth Proportional to 3,913.50, 5,400.63 and 2,258.46

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Solution

The fourth proportional to 3,913.50, 5,400.63 and 2,258.46 is: 3,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.50 : 5,400.63 = 2,258.46 : x
  2. Step 2: Convert to fraction form
    3,913.50/5,400.63 = 2,258.46/x
  3. Step 3: Cross multiply
    3,913.50x = 5,400.63 × 2,258.46
  4. Step 4: Simplify right side
    3,913.50x = 12,197,106.83
  5. Step 5: Solve for x
    x = 12,197,106.83/3,913.50
  6. Step 6: Final answer
    x = 3,116.67

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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.