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Finding the Fourth Proportional to 3,445.60, 5,164.08 and 1,801.20

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Solution

The fourth proportional to 3,445.60, 5,164.08 and 1,801.20 is: 2,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.60 : 5,164.08 = 1,801.20 : x
  2. Step 2: Convert to fraction form
    3,445.60/5,164.08 = 1,801.20/x
  3. Step 3: Cross multiply
    3,445.60x = 5,164.08 × 1,801.20
  4. Step 4: Simplify right side
    3,445.60x = 9,301,540.90
  5. Step 5: Solve for x
    x = 9,301,540.90/3,445.60
  6. Step 6: Final answer
    x = 2,699.54

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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.