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Finding the Fourth Proportional to 4,902.77, 7,354.14 and 2,129.08

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Solution

The fourth proportional to 4,902.77, 7,354.14 and 2,129.08 is: 3,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.77 : 7,354.14 = 2,129.08 : x
  2. Step 2: Convert to fraction form
    4,902.77/7,354.14 = 2,129.08/x
  3. Step 3: Cross multiply
    4,902.77x = 7,354.14 × 2,129.08
  4. Step 4: Simplify right side
    4,902.77x = 15,657,552.39
  5. Step 5: Solve for x
    x = 15,657,552.39/4,902.77
  6. Step 6: Final answer
    x = 3,193.61

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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.