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Finding the Fourth Proportional to 5,886.47, 8,123.43 and 3,233.99

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Solution

The fourth proportional to 5,886.47, 8,123.43 and 3,233.99 is: 4,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.47 : 8,123.43 = 3,233.99 : x
  2. Step 2: Convert to fraction form
    5,886.47/8,123.43 = 3,233.99/x
  3. Step 3: Cross multiply
    5,886.47x = 8,123.43 × 3,233.99
  4. Step 4: Simplify right side
    5,886.47x = 26,271,091.39
  5. Step 5: Solve for x
    x = 26,271,091.39/5,886.47
  6. Step 6: Final answer
    x = 4,462.96

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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.