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Finding the Fourth Proportional to 5,977.86, 8,966.85 and 1,595.94

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Solution

The fourth proportional to 5,977.86, 8,966.85 and 1,595.94 is: 2,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.86 : 8,966.85 = 1,595.94 : x
  2. Step 2: Convert to fraction form
    5,977.86/8,966.85 = 1,595.94/x
  3. Step 3: Cross multiply
    5,977.86x = 8,966.85 × 1,595.94
  4. Step 4: Simplify right side
    5,977.86x = 14,310,554.59
  5. Step 5: Solve for x
    x = 14,310,554.59/5,977.86
  6. Step 6: Final answer
    x = 2,393.93

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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.