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Finding the Fourth Proportional to 3,548.16, 4,892 and 2,760.96

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Solution

The fourth proportional to 3,548.16, 4,892 and 2,760.96 is: 3,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.16 : 4,892 = 2,760.96 : x
  2. Step 2: Convert to fraction form
    3,548.16/4,892 = 2,760.96/x
  3. Step 3: Cross multiply
    3,548.16x = 4,892 × 2,760.96
  4. Step 4: Simplify right side
    3,548.16x = 13,506,616.32
  5. Step 5: Solve for x
    x = 13,506,616.32/3,548.16
  6. Step 6: Final answer
    x = 3,806.65

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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.