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Finding the Fourth Proportional to 4,880.02, 7,320.75 and 1,416.82

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Solution

The fourth proportional to 4,880.02, 7,320.75 and 1,416.82 is: 2,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.02 : 7,320.75 = 1,416.82 : x
  2. Step 2: Convert to fraction form
    4,880.02/7,320.75 = 1,416.82/x
  3. Step 3: Cross multiply
    4,880.02x = 7,320.75 × 1,416.82
  4. Step 4: Simplify right side
    4,880.02x = 10,372,185.02
  5. Step 5: Solve for x
    x = 10,372,185.02/4,880.02
  6. Step 6: Final answer
    x = 2,125.44

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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.