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Finding the Fourth Proportional to 6,507.64, 8,980.54 and 3,523.50

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Solution

The fourth proportional to 6,507.64, 8,980.54 and 3,523.50 is: 4,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.64 : 8,980.54 = 3,523.50 : x
  2. Step 2: Convert to fraction form
    6,507.64/8,980.54 = 3,523.50/x
  3. Step 3: Cross multiply
    6,507.64x = 8,980.54 × 3,523.50
  4. Step 4: Simplify right side
    6,507.64x = 31,642,923.88
  5. Step 5: Solve for x
    x = 31,642,923.88/6,507.64
  6. Step 6: Final answer
    x = 4,862.43

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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.