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Finding the Fourth Proportional to 6,397.54, 8,828.77 and 3,526.38

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Solution

The fourth proportional to 6,397.54, 8,828.77 and 3,526.38 is: 4,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.54 : 8,828.77 = 3,526.38 : x
  2. Step 2: Convert to fraction form
    6,397.54/8,828.77 = 3,526.38/x
  3. Step 3: Cross multiply
    6,397.54x = 8,828.77 × 3,526.38
  4. Step 4: Simplify right side
    6,397.54x = 31,133,589.14
  5. Step 5: Solve for x
    x = 31,133,589.14/6,397.54
  6. Step 6: Final answer
    x = 4,866.50

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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.