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Finding the Fourth Proportional to 4,900.06, 7,319.09 and 4,615.74

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Solution

The fourth proportional to 4,900.06, 7,319.09 and 4,615.74 is: 6,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.06 : 7,319.09 = 4,615.74 : x
  2. Step 2: Convert to fraction form
    4,900.06/7,319.09 = 4,615.74/x
  3. Step 3: Cross multiply
    4,900.06x = 7,319.09 × 4,615.74
  4. Step 4: Simplify right side
    4,900.06x = 33,783,016.48
  5. Step 5: Solve for x
    x = 33,783,016.48/4,900.06
  6. Step 6: Final answer
    x = 6,894.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.