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Finding the Fourth Proportional to 5,818.64, 8,715.20 and 4,178.39

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Solution

The fourth proportional to 5,818.64, 8,715.20 and 4,178.39 is: 6,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.64 : 8,715.20 = 4,178.39 : x
  2. Step 2: Convert to fraction form
    5,818.64/8,715.20 = 4,178.39/x
  3. Step 3: Cross multiply
    5,818.64x = 8,715.20 × 4,178.39
  4. Step 4: Simplify right side
    5,818.64x = 36,415,440.06
  5. Step 5: Solve for x
    x = 36,415,440.06/5,818.64
  6. Step 6: Final answer
    x = 6,258.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.