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Finding the Fourth Proportional to 4,600, 6,349.08 and 2,738.08

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Solution

The fourth proportional to 4,600, 6,349.08 and 2,738.08 is: 3,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600 : 6,349.08 = 2,738.08 : x
  2. Step 2: Convert to fraction form
    4,600/6,349.08 = 2,738.08/x
  3. Step 3: Cross multiply
    4,600x = 6,349.08 × 2,738.08
  4. Step 4: Simplify right side
    4,600x = 17,384,288.97
  5. Step 5: Solve for x
    x = 17,384,288.97/4,600
  6. Step 6: Final answer
    x = 3,779.19

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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.