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Finding the Fourth Proportional to 4,732, 7,100.88 and 1,996

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Solution

The fourth proportional to 4,732, 7,100.88 and 1,996 is: 2,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732 : 7,100.88 = 1,996 : x
  2. Step 2: Convert to fraction form
    4,732/7,100.88 = 1,996/x
  3. Step 3: Cross multiply
    4,732x = 7,100.88 × 1,996
  4. Step 4: Simplify right side
    4,732x = 14,173,356.48
  5. Step 5: Solve for x
    x = 14,173,356.48/4,732
  6. Step 6: Final answer
    x = 2,995.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.