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Finding the Fourth Proportional to 5,630.56, 7,772.64 and 4,304.32

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Solution

The fourth proportional to 5,630.56, 7,772.64 and 4,304.32 is: 5,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.56 : 7,772.64 = 4,304.32 : x
  2. Step 2: Convert to fraction form
    5,630.56/7,772.64 = 4,304.32/x
  3. Step 3: Cross multiply
    5,630.56x = 7,772.64 × 4,304.32
  4. Step 4: Simplify right side
    5,630.56x = 33,455,929.80
  5. Step 5: Solve for x
    x = 33,455,929.80/5,630.56
  6. Step 6: Final answer
    x = 5,941.85

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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.