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Finding the Fourth Proportional to 5,629.26, 7,763.30 and 4,688.16

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Solution

The fourth proportional to 5,629.26, 7,763.30 and 4,688.16 is: 6,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.26 : 7,763.30 = 4,688.16 : x
  2. Step 2: Convert to fraction form
    5,629.26/7,763.30 = 4,688.16/x
  3. Step 3: Cross multiply
    5,629.26x = 7,763.30 × 4,688.16
  4. Step 4: Simplify right side
    5,629.26x = 36,395,592.53
  5. Step 5: Solve for x
    x = 36,395,592.53/5,629.26
  6. Step 6: Final answer
    x = 6,465.43

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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.