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Finding the Fourth Proportional to 6,051.84, 9,077.67 and 1,669.20

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Solution

The fourth proportional to 6,051.84, 9,077.67 and 1,669.20 is: 2,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.84 : 9,077.67 = 1,669.20 : x
  2. Step 2: Convert to fraction form
    6,051.84/9,077.67 = 1,669.20/x
  3. Step 3: Cross multiply
    6,051.84x = 9,077.67 × 1,669.20
  4. Step 4: Simplify right side
    6,051.84x = 15,152,446.76
  5. Step 5: Solve for x
    x = 15,152,446.76/6,051.84
  6. Step 6: Final answer
    x = 2,503.78

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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.