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Finding the Fourth Proportional to 3,345.60, 5,023.80 and 2,427.60

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Solution

The fourth proportional to 3,345.60, 5,023.80 and 2,427.60 is: 3,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.60 : 5,023.80 = 2,427.60 : x
  2. Step 2: Convert to fraction form
    3,345.60/5,023.80 = 2,427.60/x
  3. Step 3: Cross multiply
    3,345.60x = 5,023.80 × 2,427.60
  4. Step 4: Simplify right side
    3,345.60x = 12,195,776.88
  5. Step 5: Solve for x
    x = 12,195,776.88/3,345.60
  6. Step 6: Final answer
    x = 3,645.32

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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.