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Finding the Fourth Proportional to 3,495.60, 5,236.56 and 1,854

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Solution

The fourth proportional to 3,495.60, 5,236.56 and 1,854 is: 2,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.60 : 5,236.56 = 1,854 : x
  2. Step 2: Convert to fraction form
    3,495.60/5,236.56 = 1,854/x
  3. Step 3: Cross multiply
    3,495.60x = 5,236.56 × 1,854
  4. Step 4: Simplify right side
    3,495.60x = 9,708,582.24
  5. Step 5: Solve for x
    x = 9,708,582.24/3,495.60
  6. Step 6: Final answer
    x = 2,777.37

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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.