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Finding the Fourth Proportional to 3,417.84, 5,126.81 and 1,077.75

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Solution

The fourth proportional to 3,417.84, 5,126.81 and 1,077.75 is: 1,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.84 : 5,126.81 = 1,077.75 : x
  2. Step 2: Convert to fraction form
    3,417.84/5,126.81 = 1,077.75/x
  3. Step 3: Cross multiply
    3,417.84x = 5,126.81 × 1,077.75
  4. Step 4: Simplify right side
    3,417.84x = 5,525,414.09
  5. Step 5: Solve for x
    x = 5,525,414.09/3,417.84
  6. Step 6: Final answer
    x = 1,616.64

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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.