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Finding the Fourth Proportional to 6,098.32, 8,415.28 and 3,446

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Solution

The fourth proportional to 6,098.32, 8,415.28 and 3,446 is: 4,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.32 : 8,415.28 = 3,446 : x
  2. Step 2: Convert to fraction form
    6,098.32/8,415.28 = 3,446/x
  3. Step 3: Cross multiply
    6,098.32x = 8,415.28 × 3,446
  4. Step 4: Simplify right side
    6,098.32x = 28,999,054.88
  5. Step 5: Solve for x
    x = 28,999,054.88/6,098.32
  6. Step 6: Final answer
    x = 4,755.25

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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.