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Finding the Fourth Proportional to 5,214.48, 7,813.26 and 5,077.86

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Solution

The fourth proportional to 5,214.48, 7,813.26 and 5,077.86 is: 7,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.48 : 7,813.26 = 5,077.86 : x
  2. Step 2: Convert to fraction form
    5,214.48/7,813.26 = 5,077.86/x
  3. Step 3: Cross multiply
    5,214.48x = 7,813.26 × 5,077.86
  4. Step 4: Simplify right side
    5,214.48x = 39,674,640.42
  5. Step 5: Solve for x
    x = 39,674,640.42/5,214.48
  6. Step 6: Final answer
    x = 7,608.55

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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.