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Finding the Fourth Proportional to 3,438.71, 4,749.29 and 2,324.25

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Solution

The fourth proportional to 3,438.71, 4,749.29 and 2,324.25 is: 3,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.71 : 4,749.29 = 2,324.25 : x
  2. Step 2: Convert to fraction form
    3,438.71/4,749.29 = 2,324.25/x
  3. Step 3: Cross multiply
    3,438.71x = 4,749.29 × 2,324.25
  4. Step 4: Simplify right side
    3,438.71x = 11,038,525.66
  5. Step 5: Solve for x
    x = 11,038,525.66/3,438.71
  6. Step 6: Final answer
    x = 3,210.08

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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.