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Finding the Fourth Proportional to 3,038.88, 4,558.64 and 958.96

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Solution

The fourth proportional to 3,038.88, 4,558.64 and 958.96 is: 1,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.88 : 4,558.64 = 958.96 : x
  2. Step 2: Convert to fraction form
    3,038.88/4,558.64 = 958.96/x
  3. Step 3: Cross multiply
    3,038.88x = 4,558.64 × 958.96
  4. Step 4: Simplify right side
    3,038.88x = 4,371,553.41
  5. Step 5: Solve for x
    x = 4,371,553.41/3,038.88
  6. Step 6: Final answer
    x = 1,438.54

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Why These Related Problems?

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