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Finding the Fourth Proportional to 4,006, 5,530.44 and 2,681.56

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Solution

The fourth proportional to 4,006, 5,530.44 and 2,681.56 is: 3,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 5,530.44 = 2,681.56 : x
  2. Step 2: Convert to fraction form
    4,006/5,530.44 = 2,681.56/x
  3. Step 3: Cross multiply
    4,006x = 5,530.44 × 2,681.56
  4. Step 4: Simplify right side
    4,006x = 14,830,206.69
  5. Step 5: Solve for x
    x = 14,830,206.69/4,006
  6. Step 6: Final answer
    x = 3,702.00

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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.