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Finding the Fourth Proportional to 4,735.61, 7,104.43 and 1,448.60

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Solution

The fourth proportional to 4,735.61, 7,104.43 and 1,448.60 is: 2,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.61 : 7,104.43 = 1,448.60 : x
  2. Step 2: Convert to fraction form
    4,735.61/7,104.43 = 1,448.60/x
  3. Step 3: Cross multiply
    4,735.61x = 7,104.43 × 1,448.60
  4. Step 4: Simplify right side
    4,735.61x = 10,291,443.59
  5. Step 5: Solve for x
    x = 10,291,443.59/4,735.61
  6. Step 6: Final answer
    x = 2,173.20

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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.