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Finding the Fourth Proportional to 5,807.65, 8,014.47 and 3,155.04

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Solution

The fourth proportional to 5,807.65, 8,014.47 and 3,155.04 is: 4,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.65 : 8,014.47 = 3,155.04 : x
  2. Step 2: Convert to fraction form
    5,807.65/8,014.47 = 3,155.04/x
  3. Step 3: Cross multiply
    5,807.65x = 8,014.47 × 3,155.04
  4. Step 4: Simplify right side
    5,807.65x = 25,285,973.43
  5. Step 5: Solve for x
    x = 25,285,973.43/5,807.65
  6. Step 6: Final answer
    x = 4,353.91

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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.