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Finding the Fourth Proportional to 3,038.19, 4,557.92 and 958.78

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Solution

The fourth proportional to 3,038.19, 4,557.92 and 958.78 is: 1,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.19 : 4,557.92 = 958.78 : x
  2. Step 2: Convert to fraction form
    3,038.19/4,557.92 = 958.78/x
  3. Step 3: Cross multiply
    3,038.19x = 4,557.92 × 958.78
  4. Step 4: Simplify right side
    3,038.19x = 4,370,042.54
  5. Step 5: Solve for x
    x = 4,370,042.54/3,038.19
  6. Step 6: Final answer
    x = 1,438.37

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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.