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Finding the Fourth Proportional to 4,645.77, 6,969.27 and 2,454.59

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Solution

The fourth proportional to 4,645.77, 6,969.27 and 2,454.59 is: 3,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.77 : 6,969.27 = 2,454.59 : x
  2. Step 2: Convert to fraction form
    4,645.77/6,969.27 = 2,454.59/x
  3. Step 3: Cross multiply
    4,645.77x = 6,969.27 × 2,454.59
  4. Step 4: Simplify right side
    4,645.77x = 17,106,665.60
  5. Step 5: Solve for x
    x = 17,106,665.60/4,645.77
  6. Step 6: Final answer
    x = 3,682.20

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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.