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Finding the Fourth Proportional to 5,092.40, 7,637.64 and 2,493.68

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Solution

The fourth proportional to 5,092.40, 7,637.64 and 2,493.68 is: 3,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.40 : 7,637.64 = 2,493.68 : x
  2. Step 2: Convert to fraction form
    5,092.40/7,637.64 = 2,493.68/x
  3. Step 3: Cross multiply
    5,092.40x = 7,637.64 × 2,493.68
  4. Step 4: Simplify right side
    5,092.40x = 19,045,830.12
  5. Step 5: Solve for x
    x = 19,045,830.12/5,092.40
  6. Step 6: Final answer
    x = 3,740.05

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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.