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Finding the Fourth Proportional to 4,980.74, 7,450.95 and 4,160.66

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Solution

The fourth proportional to 4,980.74, 7,450.95 and 4,160.66 is: 6,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.74 : 7,450.95 = 4,160.66 : x
  2. Step 2: Convert to fraction form
    4,980.74/7,450.95 = 4,160.66/x
  3. Step 3: Cross multiply
    4,980.74x = 7,450.95 × 4,160.66
  4. Step 4: Simplify right side
    4,980.74x = 31,000,869.63
  5. Step 5: Solve for x
    x = 31,000,869.63/4,980.74
  6. Step 6: Final answer
    x = 6,224.15

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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.