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Finding the Fourth Proportional to 4,893.84, 7,338.24 and 1,971.36

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Solution

The fourth proportional to 4,893.84, 7,338.24 and 1,971.36 is: 2,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.84 : 7,338.24 = 1,971.36 : x
  2. Step 2: Convert to fraction form
    4,893.84/7,338.24 = 1,971.36/x
  3. Step 3: Cross multiply
    4,893.84x = 7,338.24 × 1,971.36
  4. Step 4: Simplify right side
    4,893.84x = 14,466,312.81
  5. Step 5: Solve for x
    x = 14,466,312.81/4,893.84
  6. Step 6: Final answer
    x = 2,956.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.