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Finding the Fourth Proportional to 4,738.56, 6,543.04 and 4,240.32

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Solution

The fourth proportional to 4,738.56, 6,543.04 and 4,240.32 is: 5,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.56 : 6,543.04 = 4,240.32 : x
  2. Step 2: Convert to fraction form
    4,738.56/6,543.04 = 4,240.32/x
  3. Step 3: Cross multiply
    4,738.56x = 6,543.04 × 4,240.32
  4. Step 4: Simplify right side
    4,738.56x = 27,744,583.37
  5. Step 5: Solve for x
    x = 27,744,583.37/4,738.56
  6. Step 6: Final answer
    x = 5,855.07

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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.