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Finding the Fourth Proportional to 5,312.96, 7,330.16 and 2,954.64

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Solution

The fourth proportional to 5,312.96, 7,330.16 and 2,954.64 is: 4,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.96 : 7,330.16 = 2,954.64 : x
  2. Step 2: Convert to fraction form
    5,312.96/7,330.16 = 2,954.64/x
  3. Step 3: Cross multiply
    5,312.96x = 7,330.16 × 2,954.64
  4. Step 4: Simplify right side
    5,312.96x = 21,657,983.94
  5. Step 5: Solve for x
    x = 21,657,983.94/5,312.96
  6. Step 6: Final answer
    x = 4,076.44

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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.