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Finding the Fourth Proportional to 6,890.45, 9,508.88 and 3,746.64

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Solution

The fourth proportional to 6,890.45, 9,508.88 and 3,746.64 is: 5,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.45 : 9,508.88 = 3,746.64 : x
  2. Step 2: Convert to fraction form
    6,890.45/9,508.88 = 3,746.64/x
  3. Step 3: Cross multiply
    6,890.45x = 9,508.88 × 3,746.64
  4. Step 4: Simplify right side
    6,890.45x = 35,626,359.53
  5. Step 5: Solve for x
    x = 35,626,359.53/6,890.45
  6. Step 6: Final answer
    x = 5,170.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.