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Finding the Fourth Proportional to 6,577.71, 9,080.08 and 4,459.38

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Solution

The fourth proportional to 6,577.71, 9,080.08 and 4,459.38 is: 6,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.71 : 9,080.08 = 4,459.38 : x
  2. Step 2: Convert to fraction form
    6,577.71/9,080.08 = 4,459.38/x
  3. Step 3: Cross multiply
    6,577.71x = 9,080.08 × 4,459.38
  4. Step 4: Simplify right side
    6,577.71x = 40,491,547.39
  5. Step 5: Solve for x
    x = 40,491,547.39/6,577.71
  6. Step 6: Final answer
    x = 6,155.88

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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.