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Finding the Fourth Proportional to 5,475.84, 7,557.12 and 2,992

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Solution

The fourth proportional to 5,475.84, 7,557.12 and 2,992 is: 4,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.84 : 7,557.12 = 2,992 : x
  2. Step 2: Convert to fraction form
    5,475.84/7,557.12 = 2,992/x
  3. Step 3: Cross multiply
    5,475.84x = 7,557.12 × 2,992
  4. Step 4: Simplify right side
    5,475.84x = 22,610,903.04
  5. Step 5: Solve for x
    x = 22,610,903.04/5,475.84
  6. Step 6: Final answer
    x = 4,129.21

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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.