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Finding the Fourth Proportional to 5,643.58, 7,790.23 and 3,405.55

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Solution

The fourth proportional to 5,643.58, 7,790.23 and 3,405.55 is: 4,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.58 : 7,790.23 = 3,405.55 : x
  2. Step 2: Convert to fraction form
    5,643.58/7,790.23 = 3,405.55/x
  3. Step 3: Cross multiply
    5,643.58x = 7,790.23 × 3,405.55
  4. Step 4: Simplify right side
    5,643.58x = 26,530,017.78
  5. Step 5: Solve for x
    x = 26,530,017.78/5,643.58
  6. Step 6: Final answer
    x = 4,700.92

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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.