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Finding the Fourth Proportional to 5,807.16, 8,012.12 and 3,288.87

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Solution

The fourth proportional to 5,807.16, 8,012.12 and 3,288.87 is: 4,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.16 : 8,012.12 = 3,288.87 : x
  2. Step 2: Convert to fraction form
    5,807.16/8,012.12 = 3,288.87/x
  3. Step 3: Cross multiply
    5,807.16x = 8,012.12 × 3,288.87
  4. Step 4: Simplify right side
    5,807.16x = 26,350,804.66
  5. Step 5: Solve for x
    x = 26,350,804.66/5,807.16
  6. Step 6: Final answer
    x = 4,537.64

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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.