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Finding the Fourth Proportional to 4,493.60, 6,740.63 and 1,374.09

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Solution

The fourth proportional to 4,493.60, 6,740.63 and 1,374.09 is: 2,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.60 : 6,740.63 = 1,374.09 : x
  2. Step 2: Convert to fraction form
    4,493.60/6,740.63 = 1,374.09/x
  3. Step 3: Cross multiply
    4,493.60x = 6,740.63 × 1,374.09
  4. Step 4: Simplify right side
    4,493.60x = 9,262,232.28
  5. Step 5: Solve for x
    x = 9,262,232.28/4,493.60
  6. Step 6: Final answer
    x = 2,061.21

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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.