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Finding the Fourth Proportional to 4,924.02, 7,385.49 and 1,461

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Solution

The fourth proportional to 4,924.02, 7,385.49 and 1,461 is: 2,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.02 : 7,385.49 = 1,461 : x
  2. Step 2: Convert to fraction form
    4,924.02/7,385.49 = 1,461/x
  3. Step 3: Cross multiply
    4,924.02x = 7,385.49 × 1,461
  4. Step 4: Simplify right side
    4,924.02x = 10,790,200.89
  5. Step 5: Solve for x
    x = 10,790,200.89/4,924.02
  6. Step 6: Final answer
    x = 2,191.34

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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.