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Finding the Fourth Proportional to 4,139, 6,208.66 and 1,403

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Solution

The fourth proportional to 4,139, 6,208.66 and 1,403 is: 2,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139 : 6,208.66 = 1,403 : x
  2. Step 2: Convert to fraction form
    4,139/6,208.66 = 1,403/x
  3. Step 3: Cross multiply
    4,139x = 6,208.66 × 1,403
  4. Step 4: Simplify right side
    4,139x = 8,710,749.98
  5. Step 5: Solve for x
    x = 8,710,749.98/4,139
  6. Step 6: Final answer
    x = 2,104.55

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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.