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Finding the Fourth Proportional to 3,374.19, 5,059.53 and 1,524.42

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Solution

The fourth proportional to 3,374.19, 5,059.53 and 1,524.42 is: 2,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.19 : 5,059.53 = 1,524.42 : x
  2. Step 2: Convert to fraction form
    3,374.19/5,059.53 = 1,524.42/x
  3. Step 3: Cross multiply
    3,374.19x = 5,059.53 × 1,524.42
  4. Step 4: Simplify right side
    3,374.19x = 7,712,848.72
  5. Step 5: Solve for x
    x = 7,712,848.72/3,374.19
  6. Step 6: Final answer
    x = 2,285.84

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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.