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Finding the Fourth Proportional to 4,704.96, 7,055.37 and 1,417.41

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Solution

The fourth proportional to 4,704.96, 7,055.37 and 1,417.41 is: 2,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.96 : 7,055.37 = 1,417.41 : x
  2. Step 2: Convert to fraction form
    4,704.96/7,055.37 = 1,417.41/x
  3. Step 3: Cross multiply
    4,704.96x = 7,055.37 × 1,417.41
  4. Step 4: Simplify right side
    4,704.96x = 10,000,351.99
  5. Step 5: Solve for x
    x = 10,000,351.99/4,704.96
  6. Step 6: Final answer
    x = 2,125.49

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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.