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Finding the Fourth Proportional to 4,157.04, 5,736.68 and 2,294

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Solution

The fourth proportional to 4,157.04, 5,736.68 and 2,294 is: 3,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.04 : 5,736.68 = 2,294 : x
  2. Step 2: Convert to fraction form
    4,157.04/5,736.68 = 2,294/x
  3. Step 3: Cross multiply
    4,157.04x = 5,736.68 × 2,294
  4. Step 4: Simplify right side
    4,157.04x = 13,159,943.92
  5. Step 5: Solve for x
    x = 13,159,943.92/4,157.04
  6. Step 6: Final answer
    x = 3,165.70

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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.