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Finding the Fourth Proportional to 4,932.12, 7,395.42 and 2,007

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Solution

The fourth proportional to 4,932.12, 7,395.42 and 2,007 is: 3,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.12 : 7,395.42 = 2,007 : x
  2. Step 2: Convert to fraction form
    4,932.12/7,395.42 = 2,007/x
  3. Step 3: Cross multiply
    4,932.12x = 7,395.42 × 2,007
  4. Step 4: Simplify right side
    4,932.12x = 14,842,607.94
  5. Step 5: Solve for x
    x = 14,842,607.94/4,932.12
  6. Step 6: Final answer
    x = 3,009.38

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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.