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Finding the Fourth Proportional to 4,900.86, 7,344 and 1,977.57

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Solution

The fourth proportional to 4,900.86, 7,344 and 1,977.57 is: 2,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.86 : 7,344 = 1,977.57 : x
  2. Step 2: Convert to fraction form
    4,900.86/7,344 = 1,977.57/x
  3. Step 3: Cross multiply
    4,900.86x = 7,344 × 1,977.57
  4. Step 4: Simplify right side
    4,900.86x = 14,523,274.08
  5. Step 5: Solve for x
    x = 14,523,274.08/4,900.86
  6. Step 6: Final answer
    x = 2,963.41

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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.