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Finding the Fourth Proportional to 3,501.60, 4,830.48 and 2,983.20

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Solution

The fourth proportional to 3,501.60, 4,830.48 and 2,983.20 is: 4,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.60 : 4,830.48 = 2,983.20 : x
  2. Step 2: Convert to fraction form
    3,501.60/4,830.48 = 2,983.20/x
  3. Step 3: Cross multiply
    3,501.60x = 4,830.48 × 2,983.20
  4. Step 4: Simplify right side
    3,501.60x = 14,410,287.94
  5. Step 5: Solve for x
    x = 14,410,287.94/3,501.60
  6. Step 6: Final answer
    x = 4,115.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.