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Finding the Fourth Proportional to 5,003.64, 7,506 and 2,080.32

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Solution

The fourth proportional to 5,003.64, 7,506 and 2,080.32 is: 3,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.64 : 7,506 = 2,080.32 : x
  2. Step 2: Convert to fraction form
    5,003.64/7,506 = 2,080.32/x
  3. Step 3: Cross multiply
    5,003.64x = 7,506 × 2,080.32
  4. Step 4: Simplify right side
    5,003.64x = 15,614,881.92
  5. Step 5: Solve for x
    x = 15,614,881.92/5,003.64
  6. Step 6: Final answer
    x = 3,120.70

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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.