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Finding the Fourth Proportional to 5,889.16, 8,123.43 and 3,497.50

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Solution

The fourth proportional to 5,889.16, 8,123.43 and 3,497.50 is: 4,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.16 : 8,123.43 = 3,497.50 : x
  2. Step 2: Convert to fraction form
    5,889.16/8,123.43 = 3,497.50/x
  3. Step 3: Cross multiply
    5,889.16x = 8,123.43 × 3,497.50
  4. Step 4: Simplify right side
    5,889.16x = 28,411,696.43
  5. Step 5: Solve for x
    x = 28,411,696.43/5,889.16
  6. Step 6: Final answer
    x = 4,824.41

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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.