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Finding the Fourth Proportional to 4,903.81, 7,353.40 and 1,781.62

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Solution

The fourth proportional to 4,903.81, 7,353.40 and 1,781.62 is: 2,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.81 : 7,353.40 = 1,781.62 : x
  2. Step 2: Convert to fraction form
    4,903.81/7,353.40 = 1,781.62/x
  3. Step 3: Cross multiply
    4,903.81x = 7,353.40 × 1,781.62
  4. Step 4: Simplify right side
    4,903.81x = 13,100,964.51
  5. Step 5: Solve for x
    x = 13,100,964.51/4,903.81
  6. Step 6: Final answer
    x = 2,671.59

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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.