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Finding the Fourth Proportional to 3,903.85, 5,852.67 and 2,258.54

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Solution

The fourth proportional to 3,903.85, 5,852.67 and 2,258.54 is: 3,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.85 : 5,852.67 = 2,258.54 : x
  2. Step 2: Convert to fraction form
    3,903.85/5,852.67 = 2,258.54/x
  3. Step 3: Cross multiply
    3,903.85x = 5,852.67 × 2,258.54
  4. Step 4: Simplify right side
    3,903.85x = 13,218,460.04
  5. Step 5: Solve for x
    x = 13,218,460.04/3,903.85
  6. Step 6: Final answer
    x = 3,386.01

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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.