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Finding the Fourth Proportional to 5,004.64, 7,507.50 and 2,081.32

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Solution

The fourth proportional to 5,004.64, 7,507.50 and 2,081.32 is: 3,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.64 : 7,507.50 = 2,081.32 : x
  2. Step 2: Convert to fraction form
    5,004.64/7,507.50 = 2,081.32/x
  3. Step 3: Cross multiply
    5,004.64x = 7,507.50 × 2,081.32
  4. Step 4: Simplify right side
    5,004.64x = 15,625,509.90
  5. Step 5: Solve for x
    x = 15,625,509.90/5,004.64
  6. Step 6: Final answer
    x = 3,122.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.