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Finding the Fourth Proportional to 5,807.44, 8,703.06 and 4,509.28

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Solution

The fourth proportional to 5,807.44, 8,703.06 and 4,509.28 is: 6,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.44 : 8,703.06 = 4,509.28 : x
  2. Step 2: Convert to fraction form
    5,807.44/8,703.06 = 4,509.28/x
  3. Step 3: Cross multiply
    5,807.44x = 8,703.06 × 4,509.28
  4. Step 4: Simplify right side
    5,807.44x = 39,244,534.40
  5. Step 5: Solve for x
    x = 39,244,534.40/5,807.44
  6. Step 6: Final answer
    x = 6,757.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.