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Finding the Fourth Proportional to 3,779.75, 5,670.52 and 3,717.00

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Solution

The fourth proportional to 3,779.75, 5,670.52 and 3,717.00 is: 5,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.75 : 5,670.52 = 3,717.00 : x
  2. Step 2: Convert to fraction form
    3,779.75/5,670.52 = 3,717.00/x
  3. Step 3: Cross multiply
    3,779.75x = 5,670.52 × 3,717.00
  4. Step 4: Simplify right side
    3,779.75x = 21,077,294.49
  5. Step 5: Solve for x
    x = 21,077,294.49/3,779.75
  6. Step 6: Final answer
    x = 5,576.37

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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.