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Finding the Fourth Proportional to 4,160.36, 6,235.86 and 2,077.22

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Solution

The fourth proportional to 4,160.36, 6,235.86 and 2,077.22 is: 3,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.36 : 6,235.86 = 2,077.22 : x
  2. Step 2: Convert to fraction form
    4,160.36/6,235.86 = 2,077.22/x
  3. Step 3: Cross multiply
    4,160.36x = 6,235.86 × 2,077.22
  4. Step 4: Simplify right side
    4,160.36x = 12,953,253.11
  5. Step 5: Solve for x
    x = 12,953,253.11/4,160.36
  6. Step 6: Final answer
    x = 3,113.49

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Why These Related Problems?

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