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Finding the Fourth Proportional to 5,653.70, 7,802.64 and 3,263.75

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Solution

The fourth proportional to 5,653.70, 7,802.64 and 3,263.75 is: 4,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.70 : 7,802.64 = 3,263.75 : x
  2. Step 2: Convert to fraction form
    5,653.70/7,802.64 = 3,263.75/x
  3. Step 3: Cross multiply
    5,653.70x = 7,802.64 × 3,263.75
  4. Step 4: Simplify right side
    5,653.70x = 25,465,877.65
  5. Step 5: Solve for x
    x = 25,465,877.65/5,653.70
  6. Step 6: Final answer
    x = 4,504.28

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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.