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Finding the Fourth Proportional to 4,932.92, 7,397.18 and 1,852.76

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Solution

The fourth proportional to 4,932.92, 7,397.18 and 1,852.76 is: 2,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.92 : 7,397.18 = 1,852.76 : x
  2. Step 2: Convert to fraction form
    4,932.92/7,397.18 = 1,852.76/x
  3. Step 3: Cross multiply
    4,932.92x = 7,397.18 × 1,852.76
  4. Step 4: Simplify right side
    4,932.92x = 13,705,199.22
  5. Step 5: Solve for x
    x = 13,705,199.22/4,932.92
  6. Step 6: Final answer
    x = 2,778.31

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1.5x scale

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.