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Finding the Fourth Proportional to 6,451.88, 8,903.59 and 3,657.38

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Solution

The fourth proportional to 6,451.88, 8,903.59 and 3,657.38 is: 5,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.88 : 8,903.59 = 3,657.38 : x
  2. Step 2: Convert to fraction form
    6,451.88/8,903.59 = 3,657.38/x
  3. Step 3: Cross multiply
    6,451.88x = 8,903.59 × 3,657.38
  4. Step 4: Simplify right side
    6,451.88x = 32,563,758.33
  5. Step 5: Solve for x
    x = 32,563,758.33/6,451.88
  6. Step 6: Final answer
    x = 5,047.18

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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.