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Finding the Fourth Proportional to 4,782.60, 7,176.69 and 2,009.07

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Solution

The fourth proportional to 4,782.60, 7,176.69 and 2,009.07 is: 3,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.60 : 7,176.69 = 2,009.07 : x
  2. Step 2: Convert to fraction form
    4,782.60/7,176.69 = 2,009.07/x
  3. Step 3: Cross multiply
    4,782.60x = 7,176.69 × 2,009.07
  4. Step 4: Simplify right side
    4,782.60x = 14,418,472.58
  5. Step 5: Solve for x
    x = 14,418,472.58/4,782.60
  6. Step 6: Final answer
    x = 3,014.78

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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.