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Finding the Fourth Proportional to 3,804.77, 5,252.04 and 3,405.72

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Solution

The fourth proportional to 3,804.77, 5,252.04 and 3,405.72 is: 4,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.77 : 5,252.04 = 3,405.72 : x
  2. Step 2: Convert to fraction form
    3,804.77/5,252.04 = 3,405.72/x
  3. Step 3: Cross multiply
    3,804.77x = 5,252.04 × 3,405.72
  4. Step 4: Simplify right side
    3,804.77x = 17,886,997.36
  5. Step 5: Solve for x
    x = 17,886,997.36/3,804.77
  6. Step 6: Final answer
    x = 4,701.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.