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Finding the Fourth Proportional to 4,903.64, 7,350.75 and 3,143.71

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Solution

The fourth proportional to 4,903.64, 7,350.75 and 3,143.71 is: 4,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.64 : 7,350.75 = 3,143.71 : x
  2. Step 2: Convert to fraction form
    4,903.64/7,350.75 = 3,143.71/x
  3. Step 3: Cross multiply
    4,903.64x = 7,350.75 × 3,143.71
  4. Step 4: Simplify right side
    4,903.64x = 23,108,635.47
  5. Step 5: Solve for x
    x = 23,108,635.47/4,903.64
  6. Step 6: Final answer
    x = 4,712.55

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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.