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Finding the Fourth Proportional to 4,809.60, 7,206.72 and 3,076.80

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Solution

The fourth proportional to 4,809.60, 7,206.72 and 3,076.80 is: 4,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.60 : 7,206.72 = 3,076.80 : x
  2. Step 2: Convert to fraction form
    4,809.60/7,206.72 = 3,076.80/x
  3. Step 3: Cross multiply
    4,809.60x = 7,206.72 × 3,076.80
  4. Step 4: Simplify right side
    4,809.60x = 22,173,636.10
  5. Step 5: Solve for x
    x = 22,173,636.10/4,809.60
  6. Step 6: Final answer
    x = 4,610.29

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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.