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Finding the Fourth Proportional to 4,165.41, 5,748.26 and 2,302.41

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Solution

The fourth proportional to 4,165.41, 5,748.26 and 2,302.41 is: 3,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.41 : 5,748.26 = 2,302.41 : x
  2. Step 2: Convert to fraction form
    4,165.41/5,748.26 = 2,302.41/x
  3. Step 3: Cross multiply
    4,165.41x = 5,748.26 × 2,302.41
  4. Step 4: Simplify right side
    4,165.41x = 13,234,851.31
  5. Step 5: Solve for x
    x = 13,234,851.31/4,165.41
  6. Step 6: Final answer
    x = 3,177.32

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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.