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Finding the Fourth Proportional to 3,901.92, 5,848.80 and 1,708.80

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Solution

The fourth proportional to 3,901.92, 5,848.80 and 1,708.80 is: 2,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.92 : 5,848.80 = 1,708.80 : x
  2. Step 2: Convert to fraction form
    3,901.92/5,848.80 = 1,708.80/x
  3. Step 3: Cross multiply
    3,901.92x = 5,848.80 × 1,708.80
  4. Step 4: Simplify right side
    3,901.92x = 9,994,429.44
  5. Step 5: Solve for x
    x = 9,994,429.44/3,901.92
  6. Step 6: Final answer
    x = 2,561.41

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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.