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Finding the Fourth Proportional to 6,505.13, 8,977.43 and 3,672.38

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Solution

The fourth proportional to 6,505.13, 8,977.43 and 3,672.38 is: 5,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.13 : 8,977.43 = 3,672.38 : x
  2. Step 2: Convert to fraction form
    6,505.13/8,977.43 = 3,672.38/x
  3. Step 3: Cross multiply
    6,505.13x = 8,977.43 × 3,672.38
  4. Step 4: Simplify right side
    6,505.13x = 32,968,534.38
  5. Step 5: Solve for x
    x = 32,968,534.38/6,505.13
  6. Step 6: Final answer
    x = 5,068.08

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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.