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Finding the Fourth Proportional to 5,492.48, 8,246.93 and 5,410.48

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Solution

The fourth proportional to 5,492.48, 8,246.93 and 5,410.48 is: 8,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.48 : 8,246.93 = 5,410.48 : x
  2. Step 2: Convert to fraction form
    5,492.48/8,246.93 = 5,410.48/x
  3. Step 3: Cross multiply
    5,492.48x = 8,246.93 × 5,410.48
  4. Step 4: Simplify right side
    5,492.48x = 44,619,781.54
  5. Step 5: Solve for x
    x = 44,619,781.54/5,492.48
  6. Step 6: Final answer
    x = 8,123.79

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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.