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Finding the Fourth Proportional to 5,286.60, 7,920.30 and 4,307.40

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Solution

The fourth proportional to 5,286.60, 7,920.30 and 4,307.40 is: 6,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.60 : 7,920.30 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    5,286.60/7,920.30 = 4,307.40/x
  3. Step 3: Cross multiply
    5,286.60x = 7,920.30 × 4,307.40
  4. Step 4: Simplify right side
    5,286.60x = 34,115,900.22
  5. Step 5: Solve for x
    x = 34,115,900.22/5,286.60
  6. Step 6: Final answer
    x = 6,453.28

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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.