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Finding the Fourth Proportional to 5,801.21, 8,005.68 and 3,148.64

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Solution

The fourth proportional to 5,801.21, 8,005.68 and 3,148.64 is: 4,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.21 : 8,005.68 = 3,148.64 : x
  2. Step 2: Convert to fraction form
    5,801.21/8,005.68 = 3,148.64/x
  3. Step 3: Cross multiply
    5,801.21x = 8,005.68 × 3,148.64
  4. Step 4: Simplify right side
    5,801.21x = 25,207,004.28
  5. Step 5: Solve for x
    x = 25,207,004.28/5,801.21
  6. Step 6: Final answer
    x = 4,345.13

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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.