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Finding the Fourth Proportional to 4,669.40, 6,997.88 and 1,744.76

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Solution

The fourth proportional to 4,669.40, 6,997.88 and 1,744.76 is: 2,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.40 : 6,997.88 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    4,669.40/6,997.88 = 1,744.76/x
  3. Step 3: Cross multiply
    4,669.40x = 6,997.88 × 1,744.76
  4. Step 4: Simplify right side
    4,669.40x = 12,209,621.11
  5. Step 5: Solve for x
    x = 12,209,621.11/4,669.40
  6. Step 6: Final answer
    x = 2,614.82

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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.