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Finding the Fourth Proportional to 4,556.32, 6,825.88 and 2,602.64

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Solution

The fourth proportional to 4,556.32, 6,825.88 and 2,602.64 is: 3,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.32 : 6,825.88 = 2,602.64 : x
  2. Step 2: Convert to fraction form
    4,556.32/6,825.88 = 2,602.64/x
  3. Step 3: Cross multiply
    4,556.32x = 6,825.88 × 2,602.64
  4. Step 4: Simplify right side
    4,556.32x = 17,765,308.32
  5. Step 5: Solve for x
    x = 17,765,308.32/4,556.32
  6. Step 6: Final answer
    x = 3,899.05

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