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Finding the Fourth Proportional to 4,786.08, 6,602.76 and 2,922

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Solution

The fourth proportional to 4,786.08, 6,602.76 and 2,922 is: 4,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.08 : 6,602.76 = 2,922 : x
  2. Step 2: Convert to fraction form
    4,786.08/6,602.76 = 2,922/x
  3. Step 3: Cross multiply
    4,786.08x = 6,602.76 × 2,922
  4. Step 4: Simplify right side
    4,786.08x = 19,293,264.72
  5. Step 5: Solve for x
    x = 19,293,264.72/4,786.08
  6. Step 6: Final answer
    x = 4,031.12

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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.