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Finding the Fourth Proportional to 6,230.40, 9,358.60 and 5,258.40

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Solution

The fourth proportional to 6,230.40, 9,358.60 and 5,258.40 is: 7,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.40 : 9,358.60 = 5,258.40 : x
  2. Step 2: Convert to fraction form
    6,230.40/9,358.60 = 5,258.40/x
  3. Step 3: Cross multiply
    6,230.40x = 9,358.60 × 5,258.40
  4. Step 4: Simplify right side
    6,230.40x = 49,211,262.24
  5. Step 5: Solve for x
    x = 49,211,262.24/6,230.40
  6. Step 6: Final answer
    x = 7,898.57

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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.