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Finding the Fourth Proportional to 4,619.60, 6,367.76 and 4,238.24

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Solution

The fourth proportional to 4,619.60, 6,367.76 and 4,238.24 is: 5,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.60 : 6,367.76 = 4,238.24 : x
  2. Step 2: Convert to fraction form
    4,619.60/6,367.76 = 4,238.24/x
  3. Step 3: Cross multiply
    4,619.60x = 6,367.76 × 4,238.24
  4. Step 4: Simplify right side
    4,619.60x = 26,988,095.14
  5. Step 5: Solve for x
    x = 26,988,095.14/4,619.60
  6. Step 6: Final answer
    x = 5,842.08

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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.