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Finding the Fourth Proportional to 4,704.76, 7,057.14 and 1,417.87

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Solution

The fourth proportional to 4,704.76, 7,057.14 and 1,417.87 is: 2,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.76 : 7,057.14 = 1,417.87 : x
  2. Step 2: Convert to fraction form
    4,704.76/7,057.14 = 1,417.87/x
  3. Step 3: Cross multiply
    4,704.76x = 7,057.14 × 1,417.87
  4. Step 4: Simplify right side
    4,704.76x = 10,006,107.09
  5. Step 5: Solve for x
    x = 10,006,107.09/4,704.76
  6. Step 6: Final answer
    x = 2,126.81

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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.