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Finding the Fourth Proportional to 5,807.10, 8,721.36 and 3,035.64

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Solution

The fourth proportional to 5,807.10, 8,721.36 and 3,035.64 is: 4,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.10 : 8,721.36 = 3,035.64 : x
  2. Step 2: Convert to fraction form
    5,807.10/8,721.36 = 3,035.64/x
  3. Step 3: Cross multiply
    5,807.10x = 8,721.36 × 3,035.64
  4. Step 4: Simplify right side
    5,807.10x = 26,474,909.27
  5. Step 5: Solve for x
    x = 26,474,909.27/5,807.10
  6. Step 6: Final answer
    x = 4,559.06

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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.