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Finding the Fourth Proportional to 6,077.16, 8,386.02 and 3,977.64

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Solution

The fourth proportional to 6,077.16, 8,386.02 and 3,977.64 is: 5,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.16 : 8,386.02 = 3,977.64 : x
  2. Step 2: Convert to fraction form
    6,077.16/8,386.02 = 3,977.64/x
  3. Step 3: Cross multiply
    6,077.16x = 8,386.02 × 3,977.64
  4. Step 4: Simplify right side
    6,077.16x = 33,356,568.59
  5. Step 5: Solve for x
    x = 33,356,568.59/6,077.16
  6. Step 6: Final answer
    x = 5,488.84

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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.