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Finding the Fourth Proportional to 4,317.12, 5,940 and 4,218.84

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Solution

The fourth proportional to 4,317.12, 5,940 and 4,218.84 is: 5,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.12 : 5,940 = 4,218.84 : x
  2. Step 2: Convert to fraction form
    4,317.12/5,940 = 4,218.84/x
  3. Step 3: Cross multiply
    4,317.12x = 5,940 × 4,218.84
  4. Step 4: Simplify right side
    4,317.12x = 25,059,909.60
  5. Step 5: Solve for x
    x = 25,059,909.60/4,317.12
  6. Step 6: Final answer
    x = 5,804.77

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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.