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Finding the Fourth Proportional to 4,674.40, 7,014 and 3,115.52

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Solution

The fourth proportional to 4,674.40, 7,014 and 3,115.52 is: 4,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.40 : 7,014 = 3,115.52 : x
  2. Step 2: Convert to fraction form
    4,674.40/7,014 = 3,115.52/x
  3. Step 3: Cross multiply
    4,674.40x = 7,014 × 3,115.52
  4. Step 4: Simplify right side
    4,674.40x = 21,852,257.28
  5. Step 5: Solve for x
    x = 21,852,257.28/4,674.40
  6. Step 6: Final answer
    x = 4,674.88

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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.