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Finding the Fourth Proportional to 4,153.63, 5,731.01 and 2,473.96

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Solution

The fourth proportional to 4,153.63, 5,731.01 and 2,473.96 is: 3,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.63 : 5,731.01 = 2,473.96 : x
  2. Step 2: Convert to fraction form
    4,153.63/5,731.01 = 2,473.96/x
  3. Step 3: Cross multiply
    4,153.63x = 5,731.01 × 2,473.96
  4. Step 4: Simplify right side
    4,153.63x = 14,178,277.13
  5. Step 5: Solve for x
    x = 14,178,277.13/4,153.63
  6. Step 6: Final answer
    x = 3,413.47

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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.