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Finding the Fourth Proportional to 5,430.80, 8,146.20 and 5,106.80

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Solution

The fourth proportional to 5,430.80, 8,146.20 and 5,106.80 is: 7,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.80 : 8,146.20 = 5,106.80 : x
  2. Step 2: Convert to fraction form
    5,430.80/8,146.20 = 5,106.80/x
  3. Step 3: Cross multiply
    5,430.80x = 8,146.20 × 5,106.80
  4. Step 4: Simplify right side
    5,430.80x = 41,601,014.16
  5. Step 5: Solve for x
    x = 41,601,014.16/5,430.80
  6. Step 6: Final answer
    x = 7,660.20

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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.