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Finding the Fourth Proportional to 5,402.92, 8,090.36 and 4,627.91

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Solution

The fourth proportional to 5,402.92, 8,090.36 and 4,627.91 is: 6,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.92 : 8,090.36 = 4,627.91 : x
  2. Step 2: Convert to fraction form
    5,402.92/8,090.36 = 4,627.91/x
  3. Step 3: Cross multiply
    5,402.92x = 8,090.36 × 4,627.91
  4. Step 4: Simplify right side
    5,402.92x = 37,441,457.95
  5. Step 5: Solve for x
    x = 37,441,457.95/5,402.92
  6. Step 6: Final answer
    x = 6,929.86

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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.