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Finding the Fourth Proportional to 5,145.62, 7,101.46 and 3,157.48

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Solution

The fourth proportional to 5,145.62, 7,101.46 and 3,157.48 is: 4,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.62 : 7,101.46 = 3,157.48 : x
  2. Step 2: Convert to fraction form
    5,145.62/7,101.46 = 3,157.48/x
  3. Step 3: Cross multiply
    5,145.62x = 7,101.46 × 3,157.48
  4. Step 4: Simplify right side
    5,145.62x = 22,422,666.63
  5. Step 5: Solve for x
    x = 22,422,666.63/5,145.62
  6. Step 6: Final answer
    x = 4,357.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.