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Finding the Fourth Proportional to 5,904.21, 8,856.17 and 1,461.69

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Solution

The fourth proportional to 5,904.21, 8,856.17 and 1,461.69 is: 2,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.21 : 8,856.17 = 1,461.69 : x
  2. Step 2: Convert to fraction form
    5,904.21/8,856.17 = 1,461.69/x
  3. Step 3: Cross multiply
    5,904.21x = 8,856.17 × 1,461.69
  4. Step 4: Simplify right side
    5,904.21x = 12,945,000.92
  5. Step 5: Solve for x
    x = 12,945,000.92/5,904.21
  6. Step 6: Final answer
    x = 2,192.51

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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.