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Finding the Fourth Proportional to 4,854.72, 7,282.14 and 1,392

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Solution

The fourth proportional to 4,854.72, 7,282.14 and 1,392 is: 2,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.72 : 7,282.14 = 1,392 : x
  2. Step 2: Convert to fraction form
    4,854.72/7,282.14 = 1,392/x
  3. Step 3: Cross multiply
    4,854.72x = 7,282.14 × 1,392
  4. Step 4: Simplify right side
    4,854.72x = 10,136,738.88
  5. Step 5: Solve for x
    x = 10,136,738.88/4,854.72
  6. Step 6: Final answer
    x = 2,088.02

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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.