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Finding the Fourth Proportional to 5,428.30, 8,130.30 and 5,306.80

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Solution

The fourth proportional to 5,428.30, 8,130.30 and 5,306.80 is: 7,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.30 : 8,130.30 = 5,306.80 : x
  2. Step 2: Convert to fraction form
    5,428.30/8,130.30 = 5,306.80/x
  3. Step 3: Cross multiply
    5,428.30x = 8,130.30 × 5,306.80
  4. Step 4: Simplify right side
    5,428.30x = 43,145,876.04
  5. Step 5: Solve for x
    x = 43,145,876.04/5,428.30
  6. Step 6: Final answer
    x = 7,948.32

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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.