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Finding the Fourth Proportional to 4,674.02, 7,009.48 and 1,711.78

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Solution

The fourth proportional to 4,674.02, 7,009.48 and 1,711.78 is: 2,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.02 : 7,009.48 = 1,711.78 : x
  2. Step 2: Convert to fraction form
    4,674.02/7,009.48 = 1,711.78/x
  3. Step 3: Cross multiply
    4,674.02x = 7,009.48 × 1,711.78
  4. Step 4: Simplify right side
    4,674.02x = 11,998,687.67
  5. Step 5: Solve for x
    x = 11,998,687.67/4,674.02
  6. Step 6: Final answer
    x = 2,567.10

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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.