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Finding the Fourth Proportional to 4,927.44, 7,391.40 and 2,006.16

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Solution

The fourth proportional to 4,927.44, 7,391.40 and 2,006.16 is: 3,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.44 : 7,391.40 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    4,927.44/7,391.40 = 2,006.16/x
  3. Step 3: Cross multiply
    4,927.44x = 7,391.40 × 2,006.16
  4. Step 4: Simplify right side
    4,927.44x = 14,828,331.02
  5. Step 5: Solve for x
    x = 14,828,331.02/4,927.44
  6. Step 6: Final answer
    x = 3,009.34

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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.