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Finding the Fourth Proportional to 6,303.16, 8,696.80 and 3,649.12

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Solution

The fourth proportional to 6,303.16, 8,696.80 and 3,649.12 is: 5,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.16 : 8,696.80 = 3,649.12 : x
  2. Step 2: Convert to fraction form
    6,303.16/8,696.80 = 3,649.12/x
  3. Step 3: Cross multiply
    6,303.16x = 8,696.80 × 3,649.12
  4. Step 4: Simplify right side
    6,303.16x = 31,735,666.82
  5. Step 5: Solve for x
    x = 31,735,666.82/6,303.16
  6. Step 6: Final answer
    x = 5,034.88

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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.