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Finding the Fourth Proportional to 4,741.40, 6,546.22 and 4,243.19

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Solution

The fourth proportional to 4,741.40, 6,546.22 and 4,243.19 is: 5,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.40 : 6,546.22 = 4,243.19 : x
  2. Step 2: Convert to fraction form
    4,741.40/6,546.22 = 4,243.19/x
  3. Step 3: Cross multiply
    4,741.40x = 6,546.22 × 4,243.19
  4. Step 4: Simplify right side
    4,741.40x = 27,776,811.90
  5. Step 5: Solve for x
    x = 27,776,811.90/4,741.40
  6. Step 6: Final answer
    x = 5,858.35

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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.