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Finding the Fourth Proportional to 5,689.44, 8,537.40 and 4,542.48

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Solution

The fourth proportional to 5,689.44, 8,537.40 and 4,542.48 is: 6,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.44 : 8,537.40 = 4,542.48 : x
  2. Step 2: Convert to fraction form
    5,689.44/8,537.40 = 4,542.48/x
  3. Step 3: Cross multiply
    5,689.44x = 8,537.40 × 4,542.48
  4. Step 4: Simplify right side
    5,689.44x = 38,780,968.75
  5. Step 5: Solve for x
    x = 38,780,968.75/5,689.44
  6. Step 6: Final answer
    x = 6,816.31

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1.5x scale

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.