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Finding the Fourth Proportional to 4,909.53, 7,364.30 and 1,445.97

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Solution

The fourth proportional to 4,909.53, 7,364.30 and 1,445.97 is: 2,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.53 : 7,364.30 = 1,445.97 : x
  2. Step 2: Convert to fraction form
    4,909.53/7,364.30 = 1,445.97/x
  3. Step 3: Cross multiply
    4,909.53x = 7,364.30 × 1,445.97
  4. Step 4: Simplify right side
    4,909.53x = 10,648,549.64
  5. Step 5: Solve for x
    x = 10,648,549.64/4,909.53
  6. Step 6: Final answer
    x = 2,168.96

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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.