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Finding the Fourth Proportional to 4,972.68, 7,458.12 and 1,851.96

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Solution

The fourth proportional to 4,972.68, 7,458.12 and 1,851.96 is: 2,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.68 : 7,458.12 = 1,851.96 : x
  2. Step 2: Convert to fraction form
    4,972.68/7,458.12 = 1,851.96/x
  3. Step 3: Cross multiply
    4,972.68x = 7,458.12 × 1,851.96
  4. Step 4: Simplify right side
    4,972.68x = 13,812,139.92
  5. Step 5: Solve for x
    x = 13,812,139.92/4,972.68
  6. Step 6: Final answer
    x = 2,777.60

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Why These Related Problems?

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