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Finding the Fourth Proportional to 3,712.16, 5,124.48 and 3,206

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Solution

The fourth proportional to 3,712.16, 5,124.48 and 3,206 is: 4,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.16 : 5,124.48 = 3,206 : x
  2. Step 2: Convert to fraction form
    3,712.16/5,124.48 = 3,206/x
  3. Step 3: Cross multiply
    3,712.16x = 5,124.48 × 3,206
  4. Step 4: Simplify right side
    3,712.16x = 16,429,082.88
  5. Step 5: Solve for x
    x = 16,429,082.88/3,712.16
  6. Step 6: Final answer
    x = 4,425.75

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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.