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Finding the Fourth Proportional to 4,494.91, 6,735.06 and 3,190

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Solution

The fourth proportional to 4,494.91, 6,735.06 and 3,190 is: 4,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.91 : 6,735.06 = 3,190 : x
  2. Step 2: Convert to fraction form
    4,494.91/6,735.06 = 3,190/x
  3. Step 3: Cross multiply
    4,494.91x = 6,735.06 × 3,190
  4. Step 4: Simplify right side
    4,494.91x = 21,484,841.40
  5. Step 5: Solve for x
    x = 21,484,841.40/4,494.91
  6. Step 6: Final answer
    x = 4,779.82

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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.