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Finding the Fourth Proportional to 4,064.64, 5,609.19 and 2,201.64

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Solution

The fourth proportional to 4,064.64, 5,609.19 and 2,201.64 is: 3,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.64 : 5,609.19 = 2,201.64 : x
  2. Step 2: Convert to fraction form
    4,064.64/5,609.19 = 2,201.64/x
  3. Step 3: Cross multiply
    4,064.64x = 5,609.19 × 2,201.64
  4. Step 4: Simplify right side
    4,064.64x = 12,349,417.07
  5. Step 5: Solve for x
    x = 12,349,417.07/4,064.64
  6. Step 6: Final answer
    x = 3,038.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.