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Finding the Fourth Proportional to 4,880.38, 7,321.77 and 1,417.63

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Solution

The fourth proportional to 4,880.38, 7,321.77 and 1,417.63 is: 2,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.38 : 7,321.77 = 1,417.63 : x
  2. Step 2: Convert to fraction form
    4,880.38/7,321.77 = 1,417.63/x
  3. Step 3: Cross multiply
    4,880.38x = 7,321.77 × 1,417.63
  4. Step 4: Simplify right side
    4,880.38x = 10,379,560.81
  5. Step 5: Solve for x
    x = 10,379,560.81/4,880.38
  6. Step 6: Final answer
    x = 2,126.79

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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.