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Finding the Fourth Proportional to 5,146.98, 7,102.71 and 2,908.50

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Solution

The fourth proportional to 5,146.98, 7,102.71 and 2,908.50 is: 4,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.98 : 7,102.71 = 2,908.50 : x
  2. Step 2: Convert to fraction form
    5,146.98/7,102.71 = 2,908.50/x
  3. Step 3: Cross multiply
    5,146.98x = 7,102.71 × 2,908.50
  4. Step 4: Simplify right side
    5,146.98x = 20,658,232.04
  5. Step 5: Solve for x
    x = 20,658,232.04/5,146.98
  6. Step 6: Final answer
    x = 4,013.66

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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.