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Finding the Fourth Proportional to 3,985.94, 5,510.22 and 3,653.84

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Solution

The fourth proportional to 3,985.94, 5,510.22 and 3,653.84 is: 5,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.94 : 5,510.22 = 3,653.84 : x
  2. Step 2: Convert to fraction form
    3,985.94/5,510.22 = 3,653.84/x
  3. Step 3: Cross multiply
    3,985.94x = 5,510.22 × 3,653.84
  4. Step 4: Simplify right side
    3,985.94x = 20,133,462.24
  5. Step 5: Solve for x
    x = 20,133,462.24/3,985.94
  6. Step 6: Final answer
    x = 5,051.12

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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.