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Finding the Fourth Proportional to 6,504.93, 8,977.01 and 3,710.25

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Solution

The fourth proportional to 6,504.93, 8,977.01 and 3,710.25 is: 5,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.93 : 8,977.01 = 3,710.25 : x
  2. Step 2: Convert to fraction form
    6,504.93/8,977.01 = 3,710.25/x
  3. Step 3: Cross multiply
    6,504.93x = 8,977.01 × 3,710.25
  4. Step 4: Simplify right side
    6,504.93x = 33,306,932.80
  5. Step 5: Solve for x
    x = 33,306,932.80/6,504.93
  6. Step 6: Final answer
    x = 5,120.26

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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.