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Finding the Fourth Proportional to 4,778.32, 6,595.40 and 3,122

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Solution

The fourth proportional to 4,778.32, 6,595.40 and 3,122 is: 4,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.32 : 6,595.40 = 3,122 : x
  2. Step 2: Convert to fraction form
    4,778.32/6,595.40 = 3,122/x
  3. Step 3: Cross multiply
    4,778.32x = 6,595.40 × 3,122
  4. Step 4: Simplify right side
    4,778.32x = 20,590,838.80
  5. Step 5: Solve for x
    x = 20,590,838.80/4,778.32
  6. Step 6: Final answer
    x = 4,309.22

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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.