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Finding the Fourth Proportional to 3,779.32, 5,655.02 and 2,293.24

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Solution

The fourth proportional to 3,779.32, 5,655.02 and 2,293.24 is: 3,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.32 : 5,655.02 = 2,293.24 : x
  2. Step 2: Convert to fraction form
    3,779.32/5,655.02 = 2,293.24/x
  3. Step 3: Cross multiply
    3,779.32x = 5,655.02 × 2,293.24
  4. Step 4: Simplify right side
    3,779.32x = 12,968,318.06
  5. Step 5: Solve for x
    x = 12,968,318.06/3,779.32
  6. Step 6: Final answer
    x = 3,431.39

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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.