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Finding the Fourth Proportional to 3,461.48, 5,194.80 and 2,539.42

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Solution

The fourth proportional to 3,461.48, 5,194.80 and 2,539.42 is: 3,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.48 : 5,194.80 = 2,539.42 : x
  2. Step 2: Convert to fraction form
    3,461.48/5,194.80 = 2,539.42/x
  3. Step 3: Cross multiply
    3,461.48x = 5,194.80 × 2,539.42
  4. Step 4: Simplify right side
    3,461.48x = 13,191,779.02
  5. Step 5: Solve for x
    x = 13,191,779.02/3,461.48
  6. Step 6: Final answer
    x = 3,811.02

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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.