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Finding the Fourth Proportional to 5,206.60, 7,790.46 and 5,148.28

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Solution

The fourth proportional to 5,206.60, 7,790.46 and 5,148.28 is: 7,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.60 : 7,790.46 = 5,148.28 : x
  2. Step 2: Convert to fraction form
    5,206.60/7,790.46 = 5,148.28/x
  3. Step 3: Cross multiply
    5,206.60x = 7,790.46 × 5,148.28
  4. Step 4: Simplify right side
    5,206.60x = 40,107,469.41
  5. Step 5: Solve for x
    x = 40,107,469.41/5,206.60
  6. Step 6: Final answer
    x = 7,703.20

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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.