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Finding the Fourth Proportional to 4,117.43, 5,696.81 and 3,594.98

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Solution

The fourth proportional to 4,117.43, 5,696.81 and 3,594.98 is: 4,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.43 : 5,696.81 = 3,594.98 : x
  2. Step 2: Convert to fraction form
    4,117.43/5,696.81 = 3,594.98/x
  3. Step 3: Cross multiply
    4,117.43x = 5,696.81 × 3,594.98
  4. Step 4: Simplify right side
    4,117.43x = 20,479,898.52
  5. Step 5: Solve for x
    x = 20,479,898.52/4,117.43
  6. Step 6: Final answer
    x = 4,973.96

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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.