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Finding the Fourth Proportional to 4,089, 5,642.98 and 2,433.96

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Solution

The fourth proportional to 4,089, 5,642.98 and 2,433.96 is: 3,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 5,642.98 = 2,433.96 : x
  2. Step 2: Convert to fraction form
    4,089/5,642.98 = 2,433.96/x
  3. Step 3: Cross multiply
    4,089x = 5,642.98 × 2,433.96
  4. Step 4: Simplify right side
    4,089x = 13,734,787.60
  5. Step 5: Solve for x
    x = 13,734,787.60/4,089
  6. Step 6: Final answer
    x = 3,358.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.