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Finding the Fourth Proportional to 5,787.90, 7,982.28 and 4,668.48

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Solution

The fourth proportional to 5,787.90, 7,982.28 and 4,668.48 is: 6,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.90 : 7,982.28 = 4,668.48 : x
  2. Step 2: Convert to fraction form
    5,787.90/7,982.28 = 4,668.48/x
  3. Step 3: Cross multiply
    5,787.90x = 7,982.28 × 4,668.48
  4. Step 4: Simplify right side
    5,787.90x = 37,265,114.53
  5. Step 5: Solve for x
    x = 37,265,114.53/5,787.90
  6. Step 6: Final answer
    x = 6,438.45

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1.5x scale

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.