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Finding the Fourth Proportional to 3,158.04, 4,735.50 and 966.24

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Solution

The fourth proportional to 3,158.04, 4,735.50 and 966.24 is: 1,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.04 : 4,735.50 = 966.24 : x
  2. Step 2: Convert to fraction form
    3,158.04/4,735.50 = 966.24/x
  3. Step 3: Cross multiply
    3,158.04x = 4,735.50 × 966.24
  4. Step 4: Simplify right side
    3,158.04x = 4,575,629.52
  5. Step 5: Solve for x
    x = 4,575,629.52/3,158.04
  6. Step 6: Final answer
    x = 1,448.88

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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.