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Finding the Fourth Proportional to 4,701, 7,046.12 and 2,232.32

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Solution

The fourth proportional to 4,701, 7,046.12 and 2,232.32 is: 3,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701 : 7,046.12 = 2,232.32 : x
  2. Step 2: Convert to fraction form
    4,701/7,046.12 = 2,232.32/x
  3. Step 3: Cross multiply
    4,701x = 7,046.12 × 2,232.32
  4. Step 4: Simplify right side
    4,701x = 15,729,194.60
  5. Step 5: Solve for x
    x = 15,729,194.60/4,701
  6. Step 6: Final answer
    x = 3,345.93

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Why These Related Problems?

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