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Finding the Fourth Proportional to 4,274.96, 5,897.16 and 2,949.32

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Solution

The fourth proportional to 4,274.96, 5,897.16 and 2,949.32 is: 4,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.96 : 5,897.16 = 2,949.32 : x
  2. Step 2: Convert to fraction form
    4,274.96/5,897.16 = 2,949.32/x
  3. Step 3: Cross multiply
    4,274.96x = 5,897.16 × 2,949.32
  4. Step 4: Simplify right side
    4,274.96x = 17,392,611.93
  5. Step 5: Solve for x
    x = 17,392,611.93/4,274.96
  6. Step 6: Final answer
    x = 4,068.49

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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.