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Finding the Fourth Proportional to 4,494.25, 6,742.34 and 1,374.47

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Solution

The fourth proportional to 4,494.25, 6,742.34 and 1,374.47 is: 2,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.25 : 6,742.34 = 1,374.47 : x
  2. Step 2: Convert to fraction form
    4,494.25/6,742.34 = 1,374.47/x
  3. Step 3: Cross multiply
    4,494.25x = 6,742.34 × 1,374.47
  4. Step 4: Simplify right side
    4,494.25x = 9,267,133.91
  5. Step 5: Solve for x
    x = 9,267,133.91/4,494.25
  6. Step 6: Final answer
    x = 2,062.00

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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.