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Finding the Fourth Proportional to 4,205.81, 5,804.03 and 2,342.81

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Solution

The fourth proportional to 4,205.81, 5,804.03 and 2,342.81 is: 3,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.81 : 5,804.03 = 2,342.81 : x
  2. Step 2: Convert to fraction form
    4,205.81/5,804.03 = 2,342.81/x
  3. Step 3: Cross multiply
    4,205.81x = 5,804.03 × 2,342.81
  4. Step 4: Simplify right side
    4,205.81x = 13,597,742.32
  5. Step 5: Solve for x
    x = 13,597,742.32/4,205.81
  6. Step 6: Final answer
    x = 3,233.08

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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.