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Finding the Fourth Proportional to 4,754.34, 7,131.15 and 1,674.18

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Solution

The fourth proportional to 4,754.34, 7,131.15 and 1,674.18 is: 2,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.34 : 7,131.15 = 1,674.18 : x
  2. Step 2: Convert to fraction form
    4,754.34/7,131.15 = 1,674.18/x
  3. Step 3: Cross multiply
    4,754.34x = 7,131.15 × 1,674.18
  4. Step 4: Simplify right side
    4,754.34x = 11,938,828.71
  5. Step 5: Solve for x
    x = 11,938,828.71/4,754.34
  6. Step 6: Final answer
    x = 2,511.14

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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.