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Finding the Fourth Proportional to 4,567.12, 6,814.82 and 4,288.48

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Solution

The fourth proportional to 4,567.12, 6,814.82 and 4,288.48 is: 6,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.12 : 6,814.82 = 4,288.48 : x
  2. Step 2: Convert to fraction form
    4,567.12/6,814.82 = 4,288.48/x
  3. Step 3: Cross multiply
    4,567.12x = 6,814.82 × 4,288.48
  4. Step 4: Simplify right side
    4,567.12x = 29,225,219.27
  5. Step 5: Solve for x
    x = 29,225,219.27/4,567.12
  6. Step 6: Final answer
    x = 6,399.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.