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Finding the Fourth Proportional to 5,801.41, 8,005.95 and 3,148.82

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Solution

The fourth proportional to 5,801.41, 8,005.95 and 3,148.82 is: 4,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.41 : 8,005.95 = 3,148.82 : x
  2. Step 2: Convert to fraction form
    5,801.41/8,005.95 = 3,148.82/x
  3. Step 3: Cross multiply
    5,801.41x = 8,005.95 × 3,148.82
  4. Step 4: Simplify right side
    5,801.41x = 25,209,275.46
  5. Step 5: Solve for x
    x = 25,209,275.46/5,801.41
  6. Step 6: Final answer
    x = 4,345.37

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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.