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Finding the Fourth Proportional to 6,158.30, 9,228.74 and 3,520.40

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Solution

The fourth proportional to 6,158.30, 9,228.74 and 3,520.40 is: 5,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.30 : 9,228.74 = 3,520.40 : x
  2. Step 2: Convert to fraction form
    6,158.30/9,228.74 = 3,520.40/x
  3. Step 3: Cross multiply
    6,158.30x = 9,228.74 × 3,520.40
  4. Step 4: Simplify right side
    6,158.30x = 32,488,792.55
  5. Step 5: Solve for x
    x = 32,488,792.55/6,158.30
  6. Step 6: Final answer
    x = 5,275.61

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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.