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Finding the Fourth Proportional to 5,872.93, 8,809.41 and 1,977.64

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Solution

The fourth proportional to 5,872.93, 8,809.41 and 1,977.64 is: 2,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.93 : 8,809.41 = 1,977.64 : x
  2. Step 2: Convert to fraction form
    5,872.93/8,809.41 = 1,977.64/x
  3. Step 3: Cross multiply
    5,872.93x = 8,809.41 × 1,977.64
  4. Step 4: Simplify right side
    5,872.93x = 17,421,841.59
  5. Step 5: Solve for x
    x = 17,421,841.59/5,872.93
  6. Step 6: Final answer
    x = 2,966.47

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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.