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Finding the Fourth Proportional to 5,492.91, 7,576.02 and 3,814.32

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Solution

The fourth proportional to 5,492.91, 7,576.02 and 3,814.32 is: 5,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.91 : 7,576.02 = 3,814.32 : x
  2. Step 2: Convert to fraction form
    5,492.91/7,576.02 = 3,814.32/x
  3. Step 3: Cross multiply
    5,492.91x = 7,576.02 × 3,814.32
  4. Step 4: Simplify right side
    5,492.91x = 28,897,364.61
  5. Step 5: Solve for x
    x = 28,897,364.61/5,492.91
  6. Step 6: Final answer
    x = 5,260.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.