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Finding the Fourth Proportional to 3,483.15, 4,805.05 and 2,305.20

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Solution

The fourth proportional to 3,483.15, 4,805.05 and 2,305.20 is: 3,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.15 : 4,805.05 = 2,305.20 : x
  2. Step 2: Convert to fraction form
    3,483.15/4,805.05 = 2,305.20/x
  3. Step 3: Cross multiply
    3,483.15x = 4,805.05 × 2,305.20
  4. Step 4: Simplify right side
    3,483.15x = 11,076,601.26
  5. Step 5: Solve for x
    x = 11,076,601.26/3,483.15
  6. Step 6: Final answer
    x = 3,180.05

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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.