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Finding the Fourth Proportional to 4,295.94, 5,923.71 and 3,117.66

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Solution

The fourth proportional to 4,295.94, 5,923.71 and 3,117.66 is: 4,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.94 : 5,923.71 = 3,117.66 : x
  2. Step 2: Convert to fraction form
    4,295.94/5,923.71 = 3,117.66/x
  3. Step 3: Cross multiply
    4,295.94x = 5,923.71 × 3,117.66
  4. Step 4: Simplify right side
    4,295.94x = 18,468,113.72
  5. Step 5: Solve for x
    x = 18,468,113.72/4,295.94
  6. Step 6: Final answer
    x = 4,298.97

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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.