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Finding the Fourth Proportional to 4,647.64, 6,416.55 and 3,056.80

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Solution

The fourth proportional to 4,647.64, 6,416.55 and 3,056.80 is: 4,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.64 : 6,416.55 = 3,056.80 : x
  2. Step 2: Convert to fraction form
    4,647.64/6,416.55 = 3,056.80/x
  3. Step 3: Cross multiply
    4,647.64x = 6,416.55 × 3,056.80
  4. Step 4: Simplify right side
    4,647.64x = 19,614,110.04
  5. Step 5: Solve for x
    x = 19,614,110.04/4,647.64
  6. Step 6: Final answer
    x = 4,220.23

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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.