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Finding the Fourth Proportional to 5,407.16, 8,113.26 and 5,319.80

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Solution

The fourth proportional to 5,407.16, 8,113.26 and 5,319.80 is: 7,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.16 : 8,113.26 = 5,319.80 : x
  2. Step 2: Convert to fraction form
    5,407.16/8,113.26 = 5,319.80/x
  3. Step 3: Cross multiply
    5,407.16x = 8,113.26 × 5,319.80
  4. Step 4: Simplify right side
    5,407.16x = 43,160,920.55
  5. Step 5: Solve for x
    x = 43,160,920.55/5,407.16
  6. Step 6: Final answer
    x = 7,982.18

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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.