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Finding the Fourth Proportional to 6,551.76, 9,041.32 and 3,899.10

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Solution

The fourth proportional to 6,551.76, 9,041.32 and 3,899.10 is: 5,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.76 : 9,041.32 = 3,899.10 : x
  2. Step 2: Convert to fraction form
    6,551.76/9,041.32 = 3,899.10/x
  3. Step 3: Cross multiply
    6,551.76x = 9,041.32 × 3,899.10
  4. Step 4: Simplify right side
    6,551.76x = 35,253,010.81
  5. Step 5: Solve for x
    x = 35,253,010.81/6,551.76
  6. Step 6: Final answer
    x = 5,380.69

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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.