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Finding the Fourth Proportional to 4,762.56, 6,573.12 and 2,899.44

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Solution

The fourth proportional to 4,762.56, 6,573.12 and 2,899.44 is: 4,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.56 : 6,573.12 = 2,899.44 : x
  2. Step 2: Convert to fraction form
    4,762.56/6,573.12 = 2,899.44/x
  3. Step 3: Cross multiply
    4,762.56x = 6,573.12 × 2,899.44
  4. Step 4: Simplify right side
    4,762.56x = 19,058,367.05
  5. Step 5: Solve for x
    x = 19,058,367.05/4,762.56
  6. Step 6: Final answer
    x = 4,001.71

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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.