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Finding the Fourth Proportional to 5,742.93, 7,925.07 and 3,224.98

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Solution

The fourth proportional to 5,742.93, 7,925.07 and 3,224.98 is: 4,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.93 : 7,925.07 = 3,224.98 : x
  2. Step 2: Convert to fraction form
    5,742.93/7,925.07 = 3,224.98/x
  3. Step 3: Cross multiply
    5,742.93x = 7,925.07 × 3,224.98
  4. Step 4: Simplify right side
    5,742.93x = 25,558,192.25
  5. Step 5: Solve for x
    x = 25,558,192.25/5,742.93
  6. Step 6: Final answer
    x = 4,450.38

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Double scale
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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.