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Finding the Fourth Proportional to 5,631.46, 7,772.07 and 4,685.58

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Solution

The fourth proportional to 5,631.46, 7,772.07 and 4,685.58 is: 6,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.46 : 7,772.07 = 4,685.58 : x
  2. Step 2: Convert to fraction form
    5,631.46/7,772.07 = 4,685.58/x
  3. Step 3: Cross multiply
    5,631.46x = 7,772.07 × 4,685.58
  4. Step 4: Simplify right side
    5,631.46x = 36,416,593.46
  5. Step 5: Solve for x
    x = 36,416,593.46/5,631.46
  6. Step 6: Final answer
    x = 6,466.64

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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.