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Finding the Fourth Proportional to 6,445, 8,894.28 and 3,650.68

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Solution

The fourth proportional to 6,445, 8,894.28 and 3,650.68 is: 5,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445 : 8,894.28 = 3,650.68 : x
  2. Step 2: Convert to fraction form
    6,445/8,894.28 = 3,650.68/x
  3. Step 3: Cross multiply
    6,445x = 8,894.28 × 3,650.68
  4. Step 4: Simplify right side
    6,445x = 32,470,170.11
  5. Step 5: Solve for x
    x = 32,470,170.11/6,445
  6. Step 6: Final answer
    x = 5,038.04

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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.