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Finding the Fourth Proportional to 4,735.32, 7,102.98 and 1,448.46

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Solution

The fourth proportional to 4,735.32, 7,102.98 and 1,448.46 is: 2,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.32 : 7,102.98 = 1,448.46 : x
  2. Step 2: Convert to fraction form
    4,735.32/7,102.98 = 1,448.46/x
  3. Step 3: Cross multiply
    4,735.32x = 7,102.98 × 1,448.46
  4. Step 4: Simplify right side
    4,735.32x = 10,288,382.41
  5. Step 5: Solve for x
    x = 10,288,382.41/4,735.32
  6. Step 6: Final answer
    x = 2,172.69

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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.