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Finding the Fourth Proportional to 4,156.39, 5,736.56 and 2,477.90

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Solution

The fourth proportional to 4,156.39, 5,736.56 and 2,477.90 is: 3,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.39 : 5,736.56 = 2,477.90 : x
  2. Step 2: Convert to fraction form
    4,156.39/5,736.56 = 2,477.90/x
  3. Step 3: Cross multiply
    4,156.39x = 5,736.56 × 2,477.90
  4. Step 4: Simplify right side
    4,156.39x = 14,214,609.63
  5. Step 5: Solve for x
    x = 14,214,609.63/4,156.39
  6. Step 6: Final answer
    x = 3,419.95

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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.