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Finding the Fourth Proportional to 5,877.64, 8,810.26 and 1,927.87

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Solution

The fourth proportional to 5,877.64, 8,810.26 and 1,927.87 is: 2,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.64 : 8,810.26 = 1,927.87 : x
  2. Step 2: Convert to fraction form
    5,877.64/8,810.26 = 1,927.87/x
  3. Step 3: Cross multiply
    5,877.64x = 8,810.26 × 1,927.87
  4. Step 4: Simplify right side
    5,877.64x = 16,984,991.89
  5. Step 5: Solve for x
    x = 16,984,991.89/5,877.64
  6. Step 6: Final answer
    x = 2,889.77

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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.