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Finding the Fourth Proportional to 5,886.53, 8,123.35 and 3,197.69

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Solution

The fourth proportional to 5,886.53, 8,123.35 and 3,197.69 is: 4,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.53 : 8,123.35 = 3,197.69 : x
  2. Step 2: Convert to fraction form
    5,886.53/8,123.35 = 3,197.69/x
  3. Step 3: Cross multiply
    5,886.53x = 8,123.35 × 3,197.69
  4. Step 4: Simplify right side
    5,886.53x = 25,975,898.46
  5. Step 5: Solve for x
    x = 25,975,898.46/5,886.53
  6. Step 6: Final answer
    x = 4,412.77

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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.