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Finding the Fourth Proportional to 3,751.72, 5,176.74 and 2,259.28

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Solution

The fourth proportional to 3,751.72, 5,176.74 and 2,259.28 is: 3,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.72 : 5,176.74 = 2,259.28 : x
  2. Step 2: Convert to fraction form
    3,751.72/5,176.74 = 2,259.28/x
  3. Step 3: Cross multiply
    3,751.72x = 5,176.74 × 2,259.28
  4. Step 4: Simplify right side
    3,751.72x = 11,695,705.15
  5. Step 5: Solve for x
    x = 11,695,705.15/3,751.72
  6. Step 6: Final answer
    x = 3,117.42

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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.