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Finding the Fourth Proportional to 4,139, 5,712.06 and 2,371.16

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Solution

The fourth proportional to 4,139, 5,712.06 and 2,371.16 is: 3,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139 : 5,712.06 = 2,371.16 : x
  2. Step 2: Convert to fraction form
    4,139/5,712.06 = 2,371.16/x
  3. Step 3: Cross multiply
    4,139x = 5,712.06 × 2,371.16
  4. Step 4: Simplify right side
    4,139x = 13,544,208.19
  5. Step 5: Solve for x
    x = 13,544,208.19/4,139
  6. Step 6: Final answer
    x = 3,272.34

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1.5x scale

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.