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Finding the Fourth Proportional to 6,103.45, 8,417.46 and 3,978.16

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Solution

The fourth proportional to 6,103.45, 8,417.46 and 3,978.16 is: 5,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.45 : 8,417.46 = 3,978.16 : x
  2. Step 2: Convert to fraction form
    6,103.45/8,417.46 = 3,978.16/x
  3. Step 3: Cross multiply
    6,103.45x = 8,417.46 × 3,978.16
  4. Step 4: Simplify right side
    6,103.45x = 33,486,002.67
  5. Step 5: Solve for x
    x = 33,486,002.67/6,103.45
  6. Step 6: Final answer
    x = 5,486.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.