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Finding the Fourth Proportional to 4,156.17, 5,736.25 and 2,477.68

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Solution

The fourth proportional to 4,156.17, 5,736.25 and 2,477.68 is: 3,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.17 : 5,736.25 = 2,477.68 : x
  2. Step 2: Convert to fraction form
    4,156.17/5,736.25 = 2,477.68/x
  3. Step 3: Cross multiply
    4,156.17x = 5,736.25 × 2,477.68
  4. Step 4: Simplify right side
    4,156.17x = 14,212,602.17
  5. Step 5: Solve for x
    x = 14,212,602.17/4,156.17
  6. Step 6: Final answer
    x = 3,419.64

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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.