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Finding the Fourth Proportional to 6,046.79, 8,346.78 and 5,416.20

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Solution

The fourth proportional to 6,046.79, 8,346.78 and 5,416.20 is: 7,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.79 : 8,346.78 = 5,416.20 : x
  2. Step 2: Convert to fraction form
    6,046.79/8,346.78 = 5,416.20/x
  3. Step 3: Cross multiply
    6,046.79x = 8,346.78 × 5,416.20
  4. Step 4: Simplify right side
    6,046.79x = 45,207,829.84
  5. Step 5: Solve for x
    x = 45,207,829.84/6,046.79
  6. Step 6: Final answer
    x = 7,476.34

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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.