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Finding the Fourth Proportional to 4,242.60, 5,852.70 and 3,682.32

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Solution

The fourth proportional to 4,242.60, 5,852.70 and 3,682.32 is: 5,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.60 : 5,852.70 = 3,682.32 : x
  2. Step 2: Convert to fraction form
    4,242.60/5,852.70 = 3,682.32/x
  3. Step 3: Cross multiply
    4,242.60x = 5,852.70 × 3,682.32
  4. Step 4: Simplify right side
    4,242.60x = 21,551,514.26
  5. Step 5: Solve for x
    x = 21,551,514.26/4,242.60
  6. Step 6: Final answer
    x = 5,079.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.