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Finding the Fourth Proportional to 5,402.30, 8,103.58 and 1,506.67

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Solution

The fourth proportional to 5,402.30, 8,103.58 and 1,506.67 is: 2,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.30 : 8,103.58 = 1,506.67 : x
  2. Step 2: Convert to fraction form
    5,402.30/8,103.58 = 1,506.67/x
  3. Step 3: Cross multiply
    5,402.30x = 8,103.58 × 1,506.67
  4. Step 4: Simplify right side
    5,402.30x = 12,209,396.85
  5. Step 5: Solve for x
    x = 12,209,396.85/5,402.30
  6. Step 6: Final answer
    x = 2,260.04

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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.