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Finding the Fourth Proportional to 4,751.41, 7,123.27 and 1,980.17

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Solution

The fourth proportional to 4,751.41, 7,123.27 and 1,980.17 is: 2,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.41 : 7,123.27 = 1,980.17 : x
  2. Step 2: Convert to fraction form
    4,751.41/7,123.27 = 1,980.17/x
  3. Step 3: Cross multiply
    4,751.41x = 7,123.27 × 1,980.17
  4. Step 4: Simplify right side
    4,751.41x = 14,105,285.56
  5. Step 5: Solve for x
    x = 14,105,285.56/4,751.41
  6. Step 6: Final answer
    x = 2,968.65

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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.