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Finding the Fourth Proportional to 5,429.27, 7,492.56 and 3,814.40

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Solution

The fourth proportional to 5,429.27, 7,492.56 and 3,814.40 is: 5,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.27 : 7,492.56 = 3,814.40 : x
  2. Step 2: Convert to fraction form
    5,429.27/7,492.56 = 3,814.40/x
  3. Step 3: Cross multiply
    5,429.27x = 7,492.56 × 3,814.40
  4. Step 4: Simplify right side
    5,429.27x = 28,579,620.86
  5. Step 5: Solve for x
    x = 28,579,620.86/5,429.27
  6. Step 6: Final answer
    x = 5,263.99

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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.