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Finding the Fourth Proportional to 4,677.60, 7,003.44 and 2,364.24

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Solution

The fourth proportional to 4,677.60, 7,003.44 and 2,364.24 is: 3,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.60 : 7,003.44 = 2,364.24 : x
  2. Step 2: Convert to fraction form
    4,677.60/7,003.44 = 2,364.24/x
  3. Step 3: Cross multiply
    4,677.60x = 7,003.44 × 2,364.24
  4. Step 4: Simplify right side
    4,677.60x = 16,557,812.99
  5. Step 5: Solve for x
    x = 16,557,812.99/4,677.60
  6. Step 6: Final answer
    x = 3,539.81

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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.