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Finding the Fourth Proportional to 4,151.70, 5,730.03 and 3,155.40

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Solution

The fourth proportional to 4,151.70, 5,730.03 and 3,155.40 is: 4,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.70 : 5,730.03 = 3,155.40 : x
  2. Step 2: Convert to fraction form
    4,151.70/5,730.03 = 3,155.40/x
  3. Step 3: Cross multiply
    4,151.70x = 5,730.03 × 3,155.40
  4. Step 4: Simplify right side
    4,151.70x = 18,080,536.66
  5. Step 5: Solve for x
    x = 18,080,536.66/4,151.70
  6. Step 6: Final answer
    x = 4,354.97

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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.