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Finding the Fourth Proportional to 4,033.77, 6,051.80 and 3,648.21

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Solution

The fourth proportional to 4,033.77, 6,051.80 and 3,648.21 is: 5,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.77 : 6,051.80 = 3,648.21 : x
  2. Step 2: Convert to fraction form
    4,033.77/6,051.80 = 3,648.21/x
  3. Step 3: Cross multiply
    4,033.77x = 6,051.80 × 3,648.21
  4. Step 4: Simplify right side
    4,033.77x = 22,078,219.04
  5. Step 5: Solve for x
    x = 22,078,219.04/4,033.77
  6. Step 6: Final answer
    x = 5,473.35

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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.