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Finding the Fourth Proportional to 4,716.57, 7,071.37 and 2,374.86

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Solution

The fourth proportional to 4,716.57, 7,071.37 and 2,374.86 is: 3,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.57 : 7,071.37 = 2,374.86 : x
  2. Step 2: Convert to fraction form
    4,716.57/7,071.37 = 2,374.86/x
  3. Step 3: Cross multiply
    4,716.57x = 7,071.37 × 2,374.86
  4. Step 4: Simplify right side
    4,716.57x = 16,793,534.34
  5. Step 5: Solve for x
    x = 16,793,534.34/4,716.57
  6. Step 6: Final answer
    x = 3,560.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.