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Finding the Fourth Proportional to 5,215.64, 7,199.09 and 2,978.73

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Solution

The fourth proportional to 5,215.64, 7,199.09 and 2,978.73 is: 4,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.64 : 7,199.09 = 2,978.73 : x
  2. Step 2: Convert to fraction form
    5,215.64/7,199.09 = 2,978.73/x
  3. Step 3: Cross multiply
    5,215.64x = 7,199.09 × 2,978.73
  4. Step 4: Simplify right side
    5,215.64x = 21,444,130.46
  5. Step 5: Solve for x
    x = 21,444,130.46/5,215.64
  6. Step 6: Final answer
    x = 4,111.51

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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.