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Finding the Fourth Proportional to 5,598.70, 7,725.84 and 3,080.32

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Solution

The fourth proportional to 5,598.70, 7,725.84 and 3,080.32 is: 4,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.70 : 7,725.84 = 3,080.32 : x
  2. Step 2: Convert to fraction form
    5,598.70/7,725.84 = 3,080.32/x
  3. Step 3: Cross multiply
    5,598.70x = 7,725.84 × 3,080.32
  4. Step 4: Simplify right side
    5,598.70x = 23,798,059.47
  5. Step 5: Solve for x
    x = 23,798,059.47/5,598.70
  6. Step 6: Final answer
    x = 4,250.64

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1.5x scale

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.