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Finding the Fourth Proportional to 4,444, 6,666.03 and 1,671.30

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Solution

The fourth proportional to 4,444, 6,666.03 and 1,671.30 is: 2,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444 : 6,666.03 = 1,671.30 : x
  2. Step 2: Convert to fraction form
    4,444/6,666.03 = 1,671.30/x
  3. Step 3: Cross multiply
    4,444x = 6,666.03 × 1,671.30
  4. Step 4: Simplify right side
    4,444x = 11,140,935.94
  5. Step 5: Solve for x
    x = 11,140,935.94/4,444
  6. Step 6: Final answer
    x = 2,506.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.