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Finding the Fourth Proportional to 4,705.93, 7,056.20 and 1,782.37

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Solution

The fourth proportional to 4,705.93, 7,056.20 and 1,782.37 is: 2,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.93 : 7,056.20 = 1,782.37 : x
  2. Step 2: Convert to fraction form
    4,705.93/7,056.20 = 1,782.37/x
  3. Step 3: Cross multiply
    4,705.93x = 7,056.20 × 1,782.37
  4. Step 4: Simplify right side
    4,705.93x = 12,576,750.28
  5. Step 5: Solve for x
    x = 12,576,750.28/4,705.93
  6. Step 6: Final answer
    x = 2,672.53

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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.