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Finding the Fourth Proportional to 3,779.85, 5,672 and 1,588.41

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Solution

The fourth proportional to 3,779.85, 5,672 and 1,588.41 is: 2,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.85 : 5,672 = 1,588.41 : x
  2. Step 2: Convert to fraction form
    3,779.85/5,672 = 1,588.41/x
  3. Step 3: Cross multiply
    3,779.85x = 5,672 × 1,588.41
  4. Step 4: Simplify right side
    3,779.85x = 9,009,461.52
  5. Step 5: Solve for x
    x = 9,009,461.52/3,779.85
  6. Step 6: Final answer
    x = 2,383.55

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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.