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Finding the Fourth Proportional to 6,417.62, 8,858.94 and 4,059.38

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Solution

The fourth proportional to 6,417.62, 8,858.94 and 4,059.38 is: 5,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.62 : 8,858.94 = 4,059.38 : x
  2. Step 2: Convert to fraction form
    6,417.62/8,858.94 = 4,059.38/x
  3. Step 3: Cross multiply
    6,417.62x = 8,858.94 × 4,059.38
  4. Step 4: Simplify right side
    6,417.62x = 35,961,803.86
  5. Step 5: Solve for x
    x = 35,961,803.86/6,417.62
  6. Step 6: Final answer
    x = 5,603.60

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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.