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Finding the Fourth Proportional to 5,763.80, 7,951.56 and 4,435.40

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Solution

The fourth proportional to 5,763.80, 7,951.56 and 4,435.40 is: 6,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.80 : 7,951.56 = 4,435.40 : x
  2. Step 2: Convert to fraction form
    5,763.80/7,951.56 = 4,435.40/x
  3. Step 3: Cross multiply
    5,763.80x = 7,951.56 × 4,435.40
  4. Step 4: Simplify right side
    5,763.80x = 35,268,349.22
  5. Step 5: Solve for x
    x = 35,268,349.22/5,763.80
  6. Step 6: Final answer
    x = 6,118.94

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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.