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Finding the Fourth Proportional to 5,476, 7,557.04 and 2,992.16

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Solution

The fourth proportional to 5,476, 7,557.04 and 2,992.16 is: 4,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476 : 7,557.04 = 2,992.16 : x
  2. Step 2: Convert to fraction form
    5,476/7,557.04 = 2,992.16/x
  3. Step 3: Cross multiply
    5,476x = 7,557.04 × 2,992.16
  4. Step 4: Simplify right side
    5,476x = 22,611,872.81
  5. Step 5: Solve for x
    x = 22,611,872.81/5,476
  6. Step 6: Final answer
    x = 4,129.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.