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Finding the Fourth Proportional to 5,490, 7,576.56 and 3,006

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Solution

The fourth proportional to 5,490, 7,576.56 and 3,006 is: 4,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 7,576.56 = 3,006 : x
  2. Step 2: Convert to fraction form
    5,490/7,576.56 = 3,006/x
  3. Step 3: Cross multiply
    5,490x = 7,576.56 × 3,006
  4. Step 4: Simplify right side
    5,490x = 22,775,139.36
  5. Step 5: Solve for x
    x = 22,775,139.36/5,490
  6. Step 6: Final answer
    x = 4,148.48

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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.