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Finding the Fourth Proportional to 5,871.58, 8,806.80 and 1,976.02

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Solution

The fourth proportional to 5,871.58, 8,806.80 and 1,976.02 is: 2,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.58 : 8,806.80 = 1,976.02 : x
  2. Step 2: Convert to fraction form
    5,871.58/8,806.80 = 1,976.02/x
  3. Step 3: Cross multiply
    5,871.58x = 8,806.80 × 1,976.02
  4. Step 4: Simplify right side
    5,871.58x = 17,402,412.94
  5. Step 5: Solve for x
    x = 17,402,412.94/5,871.58
  6. Step 6: Final answer
    x = 2,963.84

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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.