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Finding the Fourth Proportional to 4,903.68, 7,354.56 and 1,981.44

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Solution

The fourth proportional to 4,903.68, 7,354.56 and 1,981.44 is: 2,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.68 : 7,354.56 = 1,981.44 : x
  2. Step 2: Convert to fraction form
    4,903.68/7,354.56 = 1,981.44/x
  3. Step 3: Cross multiply
    4,903.68x = 7,354.56 × 1,981.44
  4. Step 4: Simplify right side
    4,903.68x = 14,572,619.37
  5. Step 5: Solve for x
    x = 14,572,619.37/4,903.68
  6. Step 6: Final answer
    x = 2,971.77

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