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Finding the Fourth Proportional to 5,801.16, 8,005.38 and 3,148.51

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Solution

The fourth proportional to 5,801.16, 8,005.38 and 3,148.51 is: 4,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.16 : 8,005.38 = 3,148.51 : x
  2. Step 2: Convert to fraction form
    5,801.16/8,005.38 = 3,148.51/x
  3. Step 3: Cross multiply
    5,801.16x = 8,005.38 × 3,148.51
  4. Step 4: Simplify right side
    5,801.16x = 25,205,018.98
  5. Step 5: Solve for x
    x = 25,205,018.98/5,801.16
  6. Step 6: Final answer
    x = 4,344.82

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Why These Related Problems?

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