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Finding the Fourth Proportional to 4,496.94, 6,746.13 and 2,031.66

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Solution

The fourth proportional to 4,496.94, 6,746.13 and 2,031.66 is: 3,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.94 : 6,746.13 = 2,031.66 : x
  2. Step 2: Convert to fraction form
    4,496.94/6,746.13 = 2,031.66/x
  3. Step 3: Cross multiply
    4,496.94x = 6,746.13 × 2,031.66
  4. Step 4: Simplify right side
    4,496.94x = 13,705,842.48
  5. Step 5: Solve for x
    x = 13,705,842.48/4,496.94
  6. Step 6: Final answer
    x = 3,047.82

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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.