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Finding the Fourth Proportional to 4,651.89, 6,977.74 and 1,364.91

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Solution

The fourth proportional to 4,651.89, 6,977.74 and 1,364.91 is: 2,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.89 : 6,977.74 = 1,364.91 : x
  2. Step 2: Convert to fraction form
    4,651.89/6,977.74 = 1,364.91/x
  3. Step 3: Cross multiply
    4,651.89x = 6,977.74 × 1,364.91
  4. Step 4: Simplify right side
    4,651.89x = 9,523,987.10
  5. Step 5: Solve for x
    x = 9,523,987.10/4,651.89
  6. Step 6: Final answer
    x = 2,047.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.