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Finding the Fourth Proportional to 4,603.86, 6,899.72 and 1,679.36

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Solution

The fourth proportional to 4,603.86, 6,899.72 and 1,679.36 is: 2,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.86 : 6,899.72 = 1,679.36 : x
  2. Step 2: Convert to fraction form
    4,603.86/6,899.72 = 1,679.36/x
  3. Step 3: Cross multiply
    4,603.86x = 6,899.72 × 1,679.36
  4. Step 4: Simplify right side
    4,603.86x = 11,587,070.88
  5. Step 5: Solve for x
    x = 11,587,070.88/4,603.86
  6. Step 6: Final answer
    x = 2,516.82

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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.