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Finding the Fourth Proportional to 4,933.60, 7,416.60 and 4,220.80

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Solution

The fourth proportional to 4,933.60, 7,416.60 and 4,220.80 is: 6,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.60 : 7,416.60 = 4,220.80 : x
  2. Step 2: Convert to fraction form
    4,933.60/7,416.60 = 4,220.80/x
  3. Step 3: Cross multiply
    4,933.60x = 7,416.60 × 4,220.80
  4. Step 4: Simplify right side
    4,933.60x = 31,303,985.28
  5. Step 5: Solve for x
    x = 31,303,985.28/4,933.60
  6. Step 6: Final answer
    x = 6,345.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.