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Finding the Fourth Proportional to 6,445.50, 8,894.79 and 3,651

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Solution

The fourth proportional to 6,445.50, 8,894.79 and 3,651 is: 5,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.50 : 8,894.79 = 3,651 : x
  2. Step 2: Convert to fraction form
    6,445.50/8,894.79 = 3,651/x
  3. Step 3: Cross multiply
    6,445.50x = 8,894.79 × 3,651
  4. Step 4: Simplify right side
    6,445.50x = 32,474,878.29
  5. Step 5: Solve for x
    x = 32,474,878.29/6,445.50
  6. Step 6: Final answer
    x = 5,038.38

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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.